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Finding the Fourth Proportional to 87,427, 131,162.64 and 25,097.50

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Solution

The fourth proportional to 87,427, 131,162.64 and 25,097.50 is: 37,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,427 : 131,162.64 = 25,097.50 : x
  2. Step 2: Convert to fraction form
    87,427/131,162.64 = 25,097.50/x
  3. Step 3: Cross multiply
    87,427x = 131,162.64 × 25,097.50
  4. Step 4: Simplify right side
    87,427x = 3,291,854,357.40
  5. Step 5: Solve for x
    x = 3,291,854,357.40/87,427
  6. Step 6: Final answer
    x = 37,652.61

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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.