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Finding the Fourth Proportional to 29,692.38, 41,003.03 and 22,227.42

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Solution

The fourth proportional to 29,692.38, 41,003.03 and 22,227.42 is: 30,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692.38 : 41,003.03 = 22,227.42 : x
  2. Step 2: Convert to fraction form
    29,692.38/41,003.03 = 22,227.42/x
  3. Step 3: Cross multiply
    29,692.38x = 41,003.03 × 22,227.42
  4. Step 4: Simplify right side
    29,692.38x = 911,391,569.08
  5. Step 5: Solve for x
    x = 911,391,569.08/29,692.38
  6. Step 6: Final answer
    x = 30,694.46

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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.