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Finding the Fourth Proportional to 50,221.65, 69,306.42 and 27,559.98

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Solution

The fourth proportional to 50,221.65, 69,306.42 and 27,559.98 is: 38,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,221.65 : 69,306.42 = 27,559.98 : x
  2. Step 2: Convert to fraction form
    50,221.65/69,306.42 = 27,559.98/x
  3. Step 3: Cross multiply
    50,221.65x = 69,306.42 × 27,559.98
  4. Step 4: Simplify right side
    50,221.65x = 1,910,083,549.07
  5. Step 5: Solve for x
    x = 1,910,083,549.07/50,221.65
  6. Step 6: Final answer
    x = 38,033.07

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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.