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Finding the Fourth Proportional to 36,769.75, 50,744.17 and 27,801.83

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Solution

The fourth proportional to 36,769.75, 50,744.17 and 27,801.83 is: 38,367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,769.75 : 50,744.17 = 27,801.83 : x
  2. Step 2: Convert to fraction form
    36,769.75/50,744.17 = 27,801.83/x
  3. Step 3: Cross multiply
    36,769.75x = 50,744.17 × 27,801.83
  4. Step 4: Simplify right side
    36,769.75x = 1,410,780,949.44
  5. Step 5: Solve for x
    x = 1,410,780,949.44/36,769.75
  6. Step 6: Final answer
    x = 38,367.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.