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Finding the Fourth Proportional to 54,398.89, 81,542.20 and 22,827.29

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Solution

The fourth proportional to 54,398.89, 81,542.20 and 22,827.29 is: 34,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,398.89 : 81,542.20 = 22,827.29 : x
  2. Step 2: Convert to fraction form
    54,398.89/81,542.20 = 22,827.29/x
  3. Step 3: Cross multiply
    54,398.89x = 81,542.20 × 22,827.29
  4. Step 4: Simplify right side
    54,398.89x = 1,861,387,446.64
  5. Step 5: Solve for x
    x = 1,861,387,446.64/54,398.89
  6. Step 6: Final answer
    x = 34,217.38

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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.