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Finding the Fourth Proportional to 31,612.84, 47,403.36 and 10,545.42

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Solution

The fourth proportional to 31,612.84, 47,403.36 and 10,545.42 is: 15,812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,612.84 : 47,403.36 = 10,545.42 : x
  2. Step 2: Convert to fraction form
    31,612.84/47,403.36 = 10,545.42/x
  3. Step 3: Cross multiply
    31,612.84x = 47,403.36 × 10,545.42
  4. Step 4: Simplify right side
    31,612.84x = 499,888,340.61
  5. Step 5: Solve for x
    x = 499,888,340.61/31,612.84
  6. Step 6: Final answer
    x = 15,812.83

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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.