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Finding the Fourth Proportional to 33,792.26, 50,691.02 and 10,098

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Solution

The fourth proportional to 33,792.26, 50,691.02 and 10,098 is: 15,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,792.26 : 50,691.02 = 10,098 : x
  2. Step 2: Convert to fraction form
    33,792.26/50,691.02 = 10,098/x
  3. Step 3: Cross multiply
    33,792.26x = 50,691.02 × 10,098
  4. Step 4: Simplify right side
    33,792.26x = 511,877,869.47
  5. Step 5: Solve for x
    x = 511,877,869.47/33,792.26
  6. Step 6: Final answer
    x = 15,147.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.