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Finding the Fourth Proportional to 31,772.31, 47,658.81 and 9,585.88

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Solution

The fourth proportional to 31,772.31, 47,658.81 and 9,585.88 is: 14,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.31 : 47,658.81 = 9,585.88 : x
  2. Step 2: Convert to fraction form
    31,772.31/47,658.81 = 9,585.88/x
  3. Step 3: Cross multiply
    31,772.31x = 47,658.81 × 9,585.88
  4. Step 4: Simplify right side
    31,772.31x = 456,851,633.60
  5. Step 5: Solve for x
    x = 456,851,633.60/31,772.31
  6. Step 6: Final answer
    x = 14,378.92

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