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Finding the Fourth Proportional to 84,375.80, 126,566 and 36,966.50

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Solution

The fourth proportional to 84,375.80, 126,566 and 36,966.50 is: 55,450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,375.80 : 126,566 = 36,966.50 : x
  2. Step 2: Convert to fraction form
    84,375.80/126,566 = 36,966.50/x
  3. Step 3: Cross multiply
    84,375.80x = 126,566 × 36,966.50
  4. Step 4: Simplify right side
    84,375.80x = 4,678,702,039
  5. Step 5: Solve for x
    x = 4,678,702,039/84,375.80
  6. Step 6: Final answer
    x = 55,450.76

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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.