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Finding the Fourth Proportional to 71,104.44, 106,687.80 and 33,691.23

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Solution

The fourth proportional to 71,104.44, 106,687.80 and 33,691.23 is: 50,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,104.44 : 106,687.80 = 33,691.23 : x
  2. Step 2: Convert to fraction form
    71,104.44/106,687.80 = 33,691.23/x
  3. Step 3: Cross multiply
    71,104.44x = 106,687.80 × 33,691.23
  4. Step 4: Simplify right side
    71,104.44x = 3,594,443,207.99
  5. Step 5: Solve for x
    x = 3,594,443,207.99/71,104.44
  6. Step 6: Final answer
    x = 50,551.60

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Why These Related Problems?

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