Numbers in the given series are alternately divided by $$2$$ and multiplied by $$3$$.
i.e., $$\frac{48}{2}$$ = $$24$$
$${24}\times{3}$$ = $$72$$
$$\frac{72}{2}$$ = $$36$$
$${36}\times{3}$$ = $$108$$
Required number = $$\frac{108}{2}$$ = $$54$$.
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