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Finding the Fourth Proportional to 31,545.98, 47,311.66 and 9,354

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Solution

The fourth proportional to 31,545.98, 47,311.66 and 9,354 is: 14,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,545.98 : 47,311.66 = 9,354 : x
  2. Step 2: Convert to fraction form
    31,545.98/47,311.66 = 9,354/x
  3. Step 3: Cross multiply
    31,545.98x = 47,311.66 × 9,354
  4. Step 4: Simplify right side
    31,545.98x = 442,553,244.26
  5. Step 5: Solve for x
    x = 442,553,244.26/31,545.98
  6. Step 6: Final answer
    x = 14,028.83

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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.