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Finding the Fourth Proportional to 29,772.78, 41,082.51 and 17,833.74

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Solution

The fourth proportional to 29,772.78, 41,082.51 and 17,833.74 is: 24,608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772.78 : 41,082.51 = 17,833.74 : x
  2. Step 2: Convert to fraction form
    29,772.78/41,082.51 = 17,833.74/x
  3. Step 3: Cross multiply
    29,772.78x = 41,082.51 × 17,833.74
  4. Step 4: Simplify right side
    29,772.78x = 732,654,801.89
  5. Step 5: Solve for x
    x = 732,654,801.89/29,772.78
  6. Step 6: Final answer
    x = 24,608.21

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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.