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Finding the Fourth Proportional to 33,654.71, 50,478.98 and 10,281.14

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Solution

The fourth proportional to 33,654.71, 50,478.98 and 10,281.14 is: 15,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,654.71 : 50,478.98 = 10,281.14 : x
  2. Step 2: Convert to fraction form
    33,654.71/50,478.98 = 10,281.14/x
  3. Step 3: Cross multiply
    33,654.71x = 50,478.98 × 10,281.14
  4. Step 4: Simplify right side
    33,654.71x = 518,981,687.71
  5. Step 5: Solve for x
    x = 518,981,687.71/33,654.71
  6. Step 6: Final answer
    x = 15,420.78

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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.