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Finding the Fourth Proportional to 29,824.73, 41,158.22 and 17,078.11

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Solution

The fourth proportional to 29,824.73, 41,158.22 and 17,078.11 is: 23,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,824.73 : 41,158.22 = 17,078.11 : x
  2. Step 2: Convert to fraction form
    29,824.73/41,158.22 = 17,078.11/x
  3. Step 3: Cross multiply
    29,824.73x = 41,158.22 × 17,078.11
  4. Step 4: Simplify right side
    29,824.73x = 702,904,420.28
  5. Step 5: Solve for x
    x = 702,904,420.28/29,824.73
  6. Step 6: Final answer
    x = 23,567.84

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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.