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Finding the Fourth Proportional to 29,769.12, 41,082.53 and 17,024.38

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Solution

The fourth proportional to 29,769.12, 41,082.53 and 17,024.38 is: 23,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,769.12 : 41,082.53 = 17,024.38 : x
  2. Step 2: Convert to fraction form
    29,769.12/41,082.53 = 17,024.38/x
  3. Step 3: Cross multiply
    29,769.12x = 41,082.53 × 17,024.38
  4. Step 4: Simplify right side
    29,769.12x = 699,404,414.25
  5. Step 5: Solve for x
    x = 699,404,414.25/29,769.12
  6. Step 6: Final answer
    x = 23,494.29

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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.