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Finding the Fourth Proportional to 54,854.72, 82,284.90 and 15,414.91

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Solution

The fourth proportional to 54,854.72, 82,284.90 and 15,414.91 is: 23,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,854.72 : 82,284.90 = 15,414.91 : x
  2. Step 2: Convert to fraction form
    54,854.72/82,284.90 = 15,414.91/x
  3. Step 3: Cross multiply
    54,854.72x = 82,284.90 × 15,414.91
  4. Step 4: Simplify right side
    54,854.72x = 1,268,413,839.36
  5. Step 5: Solve for x
    x = 1,268,413,839.36/54,854.72
  6. Step 6: Final answer
    x = 23,123.15

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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.