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Finding the Fourth Proportional to 31,514.90, 47,280.98 and 16,523

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Solution

The fourth proportional to 31,514.90, 47,280.98 and 16,523 is: 24,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,514.90 : 47,280.98 = 16,523 : x
  2. Step 2: Convert to fraction form
    31,514.90/47,280.98 = 16,523/x
  3. Step 3: Cross multiply
    31,514.90x = 47,280.98 × 16,523
  4. Step 4: Simplify right side
    31,514.90x = 781,223,632.54
  5. Step 5: Solve for x
    x = 781,223,632.54/31,514.90
  6. Step 6: Final answer
    x = 24,789.02

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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.