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Finding the Fourth Proportional to 54,906.27, 82,390.52 and 25,324.10

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Solution

The fourth proportional to 54,906.27, 82,390.52 and 25,324.10 is: 38,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,906.27 : 82,390.52 = 25,324.10 : x
  2. Step 2: Convert to fraction form
    54,906.27/82,390.52 = 25,324.10/x
  3. Step 3: Cross multiply
    54,906.27x = 82,390.52 × 25,324.10
  4. Step 4: Simplify right side
    54,906.27x = 2,086,465,767.53
  5. Step 5: Solve for x
    x = 2,086,465,767.53/54,906.27
  6. Step 6: Final answer
    x = 38,000.50

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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.