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Finding the Fourth Proportional to 75,082.90, 103,613.02 and 41,090.71

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Solution

The fourth proportional to 75,082.90, 103,613.02 and 41,090.71 is: 56,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082.90 : 103,613.02 = 41,090.71 : x
  2. Step 2: Convert to fraction form
    75,082.90/103,613.02 = 41,090.71/x
  3. Step 3: Cross multiply
    75,082.90x = 103,613.02 × 41,090.71
  4. Step 4: Simplify right side
    75,082.90x = 4,257,532,557.04
  5. Step 5: Solve for x
    x = 4,257,532,557.04/75,082.90
  6. Step 6: Final answer
    x = 56,704.42

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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.