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Finding the Fourth Proportional to 54,697.52, 82,046.28 and 17,257.70

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Solution

The fourth proportional to 54,697.52, 82,046.28 and 17,257.70 is: 25,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,697.52 : 82,046.28 = 17,257.70 : x
  2. Step 2: Convert to fraction form
    54,697.52/82,046.28 = 17,257.70/x
  3. Step 3: Cross multiply
    54,697.52x = 82,046.28 × 17,257.70
  4. Step 4: Simplify right side
    54,697.52x = 1,415,930,086.36
  5. Step 5: Solve for x
    x = 1,415,930,086.36/54,697.52
  6. Step 6: Final answer
    x = 25,886.55

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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.