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Finding the Fourth Proportional to 87,874.16, 131,800.31 and 35,265.88

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Solution

The fourth proportional to 87,874.16, 131,800.31 and 35,265.88 is: 52,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,874.16 : 131,800.31 = 35,265.88 : x
  2. Step 2: Convert to fraction form
    87,874.16/131,800.31 = 35,265.88/x
  3. Step 3: Cross multiply
    87,874.16x = 131,800.31 × 35,265.88
  4. Step 4: Simplify right side
    87,874.16x = 4,648,053,081.09
  5. Step 5: Solve for x
    x = 4,648,053,081.09/87,874.16
  6. Step 6: Final answer
    x = 52,894.42

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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.