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Finding the Fourth Proportional to 39,523.80, 54,542.88 and 22,296.38

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Solution

The fourth proportional to 39,523.80, 54,542.88 and 22,296.38 is: 30,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,523.80 : 54,542.88 = 22,296.38 : x
  2. Step 2: Convert to fraction form
    39,523.80/54,542.88 = 22,296.38/x
  3. Step 3: Cross multiply
    39,523.80x = 54,542.88 × 22,296.38
  4. Step 4: Simplify right side
    39,523.80x = 1,216,108,778.77
  5. Step 5: Solve for x
    x = 1,216,108,778.77/39,523.80
  6. Step 6: Final answer
    x = 30,769.02

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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.