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Finding the Fourth Proportional to 57,841.29, 86,767.20 and 22,291.20

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Solution

The fourth proportional to 57,841.29, 86,767.20 and 22,291.20 is: 33,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,841.29 : 86,767.20 = 22,291.20 : x
  2. Step 2: Convert to fraction form
    57,841.29/86,767.20 = 22,291.20/x
  3. Step 3: Cross multiply
    57,841.29x = 86,767.20 × 22,291.20
  4. Step 4: Simplify right side
    57,841.29x = 1,934,145,008.64
  5. Step 5: Solve for x
    x = 1,934,145,008.64/57,841.29
  6. Step 6: Final answer
    x = 33,438.83

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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.