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Finding the Fourth Proportional to 57,691.95, 86,546.84 and 24,412.20

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Solution

The fourth proportional to 57,691.95, 86,546.84 and 24,412.20 is: 36,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,691.95 : 86,546.84 = 24,412.20 : x
  2. Step 2: Convert to fraction form
    57,691.95/86,546.84 = 24,412.20/x
  3. Step 3: Cross multiply
    57,691.95x = 86,546.84 × 24,412.20
  4. Step 4: Simplify right side
    57,691.95x = 2,112,798,645.39
  5. Step 5: Solve for x
    x = 2,112,798,645.39/57,691.95
  6. Step 6: Final answer
    x = 36,622.07

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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.