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Finding the Fourth Proportional to 71,414.89, 107,122.49 and 18,106.85

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Solution

The fourth proportional to 71,414.89, 107,122.49 and 18,106.85 is: 27,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,414.89 : 107,122.49 = 18,106.85 : x
  2. Step 2: Convert to fraction form
    71,414.89/107,122.49 = 18,106.85/x
  3. Step 3: Cross multiply
    71,414.89x = 107,122.49 × 18,106.85
  4. Step 4: Simplify right side
    71,414.89x = 1,939,651,103.23
  5. Step 5: Solve for x
    x = 1,939,651,103.23/71,414.89
  6. Step 6: Final answer
    x = 27,160.32

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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.