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Finding the Fourth Proportional to 31,658.37, 47,463.96 and 10,585.95

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Solution

The fourth proportional to 31,658.37, 47,463.96 and 10,585.95 is: 15,871.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658.37 : 47,463.96 = 10,585.95 : x
  2. Step 2: Convert to fraction form
    31,658.37/47,463.96 = 10,585.95/x
  3. Step 3: Cross multiply
    31,658.37x = 47,463.96 × 10,585.95
  4. Step 4: Simplify right side
    31,658.37x = 502,451,107.36
  5. Step 5: Solve for x
    x = 502,451,107.36/31,658.37
  6. Step 6: Final answer
    x = 15,871.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.