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Finding the Fourth Proportional to 71,253.25, 106,819.50 and 31,241.91

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Solution

The fourth proportional to 71,253.25, 106,819.50 and 31,241.91 is: 46,836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,253.25 : 106,819.50 = 31,241.91 : x
  2. Step 2: Convert to fraction form
    71,253.25/106,819.50 = 31,241.91/x
  3. Step 3: Cross multiply
    71,253.25x = 106,819.50 × 31,241.91
  4. Step 4: Simplify right side
    71,253.25x = 3,337,245,205.25
  5. Step 5: Solve for x
    x = 3,337,245,205.25/71,253.25
  6. Step 6: Final answer
    x = 46,836.39

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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.