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Finding the Fourth Proportional to 38,082.57, 52,546.62 and 24,651.96

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Solution

The fourth proportional to 38,082.57, 52,546.62 and 24,651.96 is: 34,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,082.57 : 52,546.62 = 24,651.96 : x
  2. Step 2: Convert to fraction form
    38,082.57/52,546.62 = 24,651.96/x
  3. Step 3: Cross multiply
    38,082.57x = 52,546.62 × 24,651.96
  4. Step 4: Simplify right side
    38,082.57x = 1,295,377,174.38
  5. Step 5: Solve for x
    x = 1,295,377,174.38/38,082.57
  6. Step 6: Final answer
    x = 34,014.96

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Why These Related Problems?

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