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Finding the Fourth Proportional to 71,405.70, 107,108.55 and 27,033.90

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Solution

The fourth proportional to 71,405.70, 107,108.55 and 27,033.90 is: 40,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,405.70 : 107,108.55 = 27,033.90 : x
  2. Step 2: Convert to fraction form
    71,405.70/107,108.55 = 27,033.90/x
  3. Step 3: Cross multiply
    71,405.70x = 107,108.55 × 27,033.90
  4. Step 4: Simplify right side
    71,405.70x = 2,895,561,829.85
  5. Step 5: Solve for x
    x = 2,895,561,829.85/71,405.70
  6. Step 6: Final answer
    x = 40,550.85

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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.