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Finding the Fourth Proportional to 57,082.68, 78,772.16 and 31,590.12

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Solution

The fourth proportional to 57,082.68, 78,772.16 and 31,590.12 is: 43,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,082.68 : 78,772.16 = 31,590.12 : x
  2. Step 2: Convert to fraction form
    57,082.68/78,772.16 = 31,590.12/x
  3. Step 3: Cross multiply
    57,082.68x = 78,772.16 × 31,590.12
  4. Step 4: Simplify right side
    57,082.68x = 2,488,421,829.11
  5. Step 5: Solve for x
    x = 2,488,421,829.11/57,082.68
  6. Step 6: Final answer
    x = 43,593.29

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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.