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Finding the Fourth Proportional to 75,082.60, 103,614.18 and 41,549.80

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Solution

The fourth proportional to 75,082.60, 103,614.18 and 41,549.80 is: 57,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082.60 : 103,614.18 = 41,549.80 : x
  2. Step 2: Convert to fraction form
    75,082.60/103,614.18 = 41,549.80/x
  3. Step 3: Cross multiply
    75,082.60x = 103,614.18 × 41,549.80
  4. Step 4: Simplify right side
    75,082.60x = 4,305,148,456.16
  5. Step 5: Solve for x
    x = 4,305,148,456.16/75,082.60
  6. Step 6: Final answer
    x = 57,338.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.