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Finding the Fourth Proportional to 29,829.57, 41,163.92 and 17,082.33

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Solution

The fourth proportional to 29,829.57, 41,163.92 and 17,082.33 is: 23,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829.57 : 41,163.92 = 17,082.33 : x
  2. Step 2: Convert to fraction form
    29,829.57/41,163.92 = 17,082.33/x
  3. Step 3: Cross multiply
    29,829.57x = 41,163.92 × 17,082.33
  4. Step 4: Simplify right side
    29,829.57x = 703,175,459.71
  5. Step 5: Solve for x
    x = 703,175,459.71/29,829.57
  6. Step 6: Final answer
    x = 23,573.10

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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.