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Finding the Fourth Proportional to 87,984, 131,998.01 and 25,654.50

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Solution

The fourth proportional to 87,984, 131,998.01 and 25,654.50 is: 38,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,984 : 131,998.01 = 25,654.50 : x
  2. Step 2: Convert to fraction form
    87,984/131,998.01 = 25,654.50/x
  3. Step 3: Cross multiply
    87,984x = 131,998.01 × 25,654.50
  4. Step 4: Simplify right side
    87,984x = 3,386,342,947.55
  5. Step 5: Solve for x
    x = 3,386,342,947.55/87,984
  6. Step 6: Final answer
    x = 38,488.17

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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.