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Finding the Fourth Proportional to 31,772.46, 47,643.24 and 9,581.70

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Solution

The fourth proportional to 31,772.46, 47,643.24 and 9,581.70 is: 14,367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.46 : 47,643.24 = 9,581.70 : x
  2. Step 2: Convert to fraction form
    31,772.46/47,643.24 = 9,581.70/x
  3. Step 3: Cross multiply
    31,772.46x = 47,643.24 × 9,581.70
  4. Step 4: Simplify right side
    31,772.46x = 456,503,232.71
  5. Step 5: Solve for x
    x = 456,503,232.71/31,772.46
  6. Step 6: Final answer
    x = 14,367.89

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