Cragenj3,
Sorry to hear you are still having trouble (and to have muffed your name in my post above).
Not to be pedantic, but your multimeter can't read power, only voltage (or current or resistance and maybe a few other things). This is why a simple test probe is a better tool for your use in fixing this problem. Get a test probe with a sharp tip, 12V bulb, and (ground) wire with a clip. Test it by clipping ground to battery negative and probe battery positive - the lite should lite up. Then use your wiring diagram to figure out what is working and what isn't. Start at the rear pass socket - you thereby confirm the problem - the lite won't blink. But it will on the drivers side. (Don't space out - remember to set the turn signal lever properly for each test).
Then use your wiring diagram. I don't know what truck you have, so I don't know how its wired. My 1988 F-350 shows front and rear blinkers on the same fuse, so (for my truck anyway) the battery connection to fuse for that circuit and thence to the hazard/turn switch is good. Then front and rear have separate outputs at the hazard/turn signal switch. Since you've been in there already, check the switch output to the rear lamps. For me, this would be LG/O: light green/orange for the working drivers rear and O/LB: orange light blue for the problem pass rear. Test both the working driver rear and the problem pass rear - your probe needs a good ground to work. You can demonstrate that by testing the working drivers rear. The probe should blink there. Then test the problem pass rear. (Don't space out - remember to set the turn signal lever properly for each test). If the test probe blinks there, the hazard/turn signal switch is OK. Continue with this process to isolate the non-working portion of the circuit.
When you find where the probe stops blinking you can usually physically see the problem. E.g. a broken wire or bad connection. Then you can fix it.
Good luck.
Jim x 3