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Finding the Fourth Proportional to 29,780.33, 41,098.95 and 19,691.24

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Solution

The fourth proportional to 29,780.33, 41,098.95 and 19,691.24 is: 27,175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,780.33 : 41,098.95 = 19,691.24 : x
  2. Step 2: Convert to fraction form
    29,780.33/41,098.95 = 19,691.24/x
  3. Step 3: Cross multiply
    29,780.33x = 41,098.95 × 19,691.24
  4. Step 4: Simplify right side
    29,780.33x = 809,289,082.70
  5. Step 5: Solve for x
    x = 809,289,082.70/29,780.33
  6. Step 6: Final answer
    x = 27,175.29

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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.