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Finding the Fourth Proportional to 31,815.92, 47,732.52 and 9,630.02

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Solution

The fourth proportional to 31,815.92, 47,732.52 and 9,630.02 is: 14,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,815.92 : 47,732.52 = 9,630.02 : x
  2. Step 2: Convert to fraction form
    31,815.92/47,732.52 = 9,630.02/x
  3. Step 3: Cross multiply
    31,815.92x = 47,732.52 × 9,630.02
  4. Step 4: Simplify right side
    31,815.92x = 459,665,122.25
  5. Step 5: Solve for x
    x = 459,665,122.25/31,815.92
  6. Step 6: Final answer
    x = 14,447.65

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Why These Related Problems?

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