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Finding the Fourth Proportional to 76,142.29, 114,254.76 and 31,772.92

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Solution

The fourth proportional to 76,142.29, 114,254.76 and 31,772.92 is: 47,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,142.29 : 114,254.76 = 31,772.92 : x
  2. Step 2: Convert to fraction form
    76,142.29/114,254.76 = 31,772.92/x
  3. Step 3: Cross multiply
    76,142.29x = 114,254.76 × 31,772.92
  4. Step 4: Simplify right side
    76,142.29x = 3,630,207,349.10
  5. Step 5: Solve for x
    x = 3,630,207,349.10/76,142.29
  6. Step 6: Final answer
    x = 47,676.62

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