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Finding the Fourth Proportional to 76,538.43, 105,640.16 and 42,558.84

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Solution

The fourth proportional to 76,538.43, 105,640.16 and 42,558.84 is: 58,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,538.43 : 105,640.16 = 42,558.84 : x
  2. Step 2: Convert to fraction form
    76,538.43/105,640.16 = 42,558.84/x
  3. Step 3: Cross multiply
    76,538.43x = 105,640.16 × 42,558.84
  4. Step 4: Simplify right side
    76,538.43x = 4,495,922,667.01
  5. Step 5: Solve for x
    x = 4,495,922,667.01/76,538.43
  6. Step 6: Final answer
    x = 58,740.72

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