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Finding the Fourth Proportional to 57,581.64, 86,306.94 and 35,042.60

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Solution

The fourth proportional to 57,581.64, 86,306.94 and 35,042.60 is: 52,524.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,581.64 : 86,306.94 = 35,042.60 : x
  2. Step 2: Convert to fraction form
    57,581.64/86,306.94 = 35,042.60/x
  3. Step 3: Cross multiply
    57,581.64x = 86,306.94 × 35,042.60
  4. Step 4: Simplify right side
    57,581.64x = 3,024,419,144.11
  5. Step 5: Solve for x
    x = 3,024,419,144.11/57,581.64
  6. Step 6: Final answer
    x = 52,524.02

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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.