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Finding the Fourth Proportional to 31,976.64, 47,972.24 and 9,791.76

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Solution

The fourth proportional to 31,976.64, 47,972.24 and 9,791.76 is: 14,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,976.64 : 47,972.24 = 9,791.76 : x
  2. Step 2: Convert to fraction form
    31,976.64/47,972.24 = 9,791.76/x
  3. Step 3: Cross multiply
    31,976.64x = 47,972.24 × 9,791.76
  4. Step 4: Simplify right side
    31,976.64x = 469,732,660.74
  5. Step 5: Solve for x
    x = 469,732,660.74/31,976.64
  6. Step 6: Final answer
    x = 14,689.87

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