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Finding the Fourth Proportional to 71,131.19, 106,749.41 and 33,691.46

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Solution

The fourth proportional to 71,131.19, 106,749.41 and 33,691.46 is: 50,562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,131.19 : 106,749.41 = 33,691.46 : x
  2. Step 2: Convert to fraction form
    71,131.19/106,749.41 = 33,691.46/x
  3. Step 3: Cross multiply
    71,131.19x = 106,749.41 × 33,691.46
  4. Step 4: Simplify right side
    71,131.19x = 3,596,542,972.33
  5. Step 5: Solve for x
    x = 3,596,542,972.33/71,131.19
  6. Step 6: Final answer
    x = 50,562.11

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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.