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Finding the Fourth Proportional to 29,781.47, 41,099.13 and 17,035.85

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Solution

The fourth proportional to 29,781.47, 41,099.13 and 17,035.85 is: 23,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,781.47 : 41,099.13 = 17,035.85 : x
  2. Step 2: Convert to fraction form
    29,781.47/41,099.13 = 17,035.85/x
  3. Step 3: Cross multiply
    29,781.47x = 41,099.13 × 17,035.85
  4. Step 4: Simplify right side
    29,781.47x = 700,158,716.56
  5. Step 5: Solve for x
    x = 700,158,716.56/29,781.47
  6. Step 6: Final answer
    x = 23,509.88

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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.