What are the resistor values that I should use in order to get 38dB gain?
40 dB is 100:1 is close enuf, but that CE/CC amp won’t give you the current gain with feedback that you haven’t specified.
Typically a speaker power amp has a damping factor of 100 which means the woofer is damped if you have one , such that back EMF current is reduced 99% or the driver output impedance is 1% of the speaker or 80 mohms roughly.
Hypothetically this means for an input impedance of say 8 kohms to 8 ohms the current gain must be &gt;1000 or 60 dB in current gain.  Thus your total power gain is 40+60 = 100 dB . Make sense?
All power amps generally use complementary Darlingtons to provide the current gain with 2 or 3 stages of emitter followers. hence the max swing is reduced from the supply rails,

this is why Class D is more popular.