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Finding the Fourth Proportional to 71,805.40, 107,408.09 and 50,456.62

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Solution

The fourth proportional to 71,805.40, 107,408.09 and 50,456.62 is: 75,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,805.40 : 107,408.09 = 50,456.62 : x
  2. Step 2: Convert to fraction form
    71,805.40/107,408.09 = 50,456.62/x
  3. Step 3: Cross multiply
    71,805.40x = 107,408.09 × 50,456.62
  4. Step 4: Simplify right side
    71,805.40x = 5,419,449,182.06
  5. Step 5: Solve for x
    x = 5,419,449,182.06/71,805.40
  6. Step 6: Final answer
    x = 75,474.12

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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.