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Finding the Fourth Proportional to 31,545.88, 47,311.50 and 9,353.90

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Solution

The fourth proportional to 31,545.88, 47,311.50 and 9,353.90 is: 14,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,545.88 : 47,311.50 = 9,353.90 : x
  2. Step 2: Convert to fraction form
    31,545.88/47,311.50 = 9,353.90/x
  3. Step 3: Cross multiply
    31,545.88x = 47,311.50 × 9,353.90
  4. Step 4: Simplify right side
    31,545.88x = 442,547,039.85
  5. Step 5: Solve for x
    x = 442,547,039.85/31,545.88
  6. Step 6: Final answer
    x = 14,028.68

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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.