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Finding the Fourth Proportional to 54,692.50, 75,475.68 and 29,542

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Solution

The fourth proportional to 54,692.50, 75,475.68 and 29,542 is: 40,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,692.50 : 75,475.68 = 29,542 : x
  2. Step 2: Convert to fraction form
    54,692.50/75,475.68 = 29,542/x
  3. Step 3: Cross multiply
    54,692.50x = 75,475.68 × 29,542
  4. Step 4: Simplify right side
    54,692.50x = 2,229,702,538.56
  5. Step 5: Solve for x
    x = 2,229,702,538.56/54,692.50
  6. Step 6: Final answer
    x = 40,767.98

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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.