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Finding the Fourth Proportional to 71,184.24, 106,786.17 and 24,431.04

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Solution

The fourth proportional to 71,184.24, 106,786.17 and 24,431.04 is: 36,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,184.24 : 106,786.17 = 24,431.04 : x
  2. Step 2: Convert to fraction form
    71,184.24/106,786.17 = 24,431.04/x
  3. Step 3: Cross multiply
    71,184.24x = 106,786.17 × 24,431.04
  4. Step 4: Simplify right side
    71,184.24x = 2,608,897,190.72
  5. Step 5: Solve for x
    x = 2,608,897,190.72/71,184.24
  6. Step 6: Final answer
    x = 36,649.93

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