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Finding the Fourth Proportional to 54,692.43, 82,005.84 and 21,372.80

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Solution

The fourth proportional to 54,692.43, 82,005.84 and 21,372.80 is: 32,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,692.43 : 82,005.84 = 21,372.80 : x
  2. Step 2: Convert to fraction form
    54,692.43/82,005.84 = 21,372.80/x
  3. Step 3: Cross multiply
    54,692.43x = 82,005.84 × 21,372.80
  4. Step 4: Simplify right side
    54,692.43x = 1,752,694,007.12
  5. Step 5: Solve for x
    x = 1,752,694,007.12/54,692.43
  6. Step 6: Final answer
    x = 32,046.37

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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.