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Finding the Fourth Proportional to 78,565.92, 117,849.20 and 31,819.68

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Solution

The fourth proportional to 78,565.92, 117,849.20 and 31,819.68 is: 47,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,565.92 : 117,849.20 = 31,819.68 : x
  2. Step 2: Convert to fraction form
    78,565.92/117,849.20 = 31,819.68/x
  3. Step 3: Cross multiply
    78,565.92x = 117,849.20 × 31,819.68
  4. Step 4: Simplify right side
    78,565.92x = 3,749,923,832.26
  5. Step 5: Solve for x
    x = 3,749,923,832.26/78,565.92
  6. Step 6: Final answer
    x = 47,729.65

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