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Finding the Fourth Proportional to 82,414.40, 123,640.25 and 26,257.71

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Solution

The fourth proportional to 82,414.40, 123,640.25 and 26,257.71 is: 39,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,414.40 : 123,640.25 = 26,257.71 : x
  2. Step 2: Convert to fraction form
    82,414.40/123,640.25 = 26,257.71/x
  3. Step 3: Cross multiply
    82,414.40x = 123,640.25 × 26,257.71
  4. Step 4: Simplify right side
    82,414.40x = 3,246,509,697.54
  5. Step 5: Solve for x
    x = 3,246,509,697.54/82,414.40
  6. Step 6: Final answer
    x = 39,392.50

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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.