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Finding the Fourth Proportional to 57,170.49, 85,785 and 27,218.61

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Solution

The fourth proportional to 57,170.49, 85,785 and 27,218.61 is: 40,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,170.49 : 85,785 = 27,218.61 : x
  2. Step 2: Convert to fraction form
    57,170.49/85,785 = 27,218.61/x
  3. Step 3: Cross multiply
    57,170.49x = 85,785 × 27,218.61
  4. Step 4: Simplify right side
    57,170.49x = 2,334,948,458.85
  5. Step 5: Solve for x
    x = 2,334,948,458.85/57,170.49
  6. Step 6: Final answer
    x = 40,841.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.