When two wires are connected in the two gaps of a meter bridge, the balancing point is obtained at a distance of \(48.4\) cm from the left end of the bridge wire. If the wire in the left gap is stretched so that its resistance increases by \(3.2\%\) and the wire in the right gap is stretched so that its resistance increases by \(10\%\), then the new balancing length from the left end of the bridge wire is nearly