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Finding the Fourth Proportional to 49,286.20, 73,888.80 and 21,227.80

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Solution

The fourth proportional to 49,286.20, 73,888.80 and 21,227.80 is: 31,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,286.20 : 73,888.80 = 21,227.80 : x
  2. Step 2: Convert to fraction form
    49,286.20/73,888.80 = 21,227.80/x
  3. Step 3: Cross multiply
    49,286.20x = 73,888.80 × 21,227.80
  4. Step 4: Simplify right side
    49,286.20x = 1,568,496,668.64
  5. Step 5: Solve for x
    x = 1,568,496,668.64/49,286.20
  6. Step 6: Final answer
    x = 31,824.26

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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.