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Finding the Fourth Proportional to 49,475.80, 74,213.70 and 29,744.20

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Solution

The fourth proportional to 49,475.80, 74,213.70 and 29,744.20 is: 44,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,475.80 : 74,213.70 = 29,744.20 : x
  2. Step 2: Convert to fraction form
    49,475.80/74,213.70 = 29,744.20/x
  3. Step 3: Cross multiply
    49,475.80x = 74,213.70 × 29,744.20
  4. Step 4: Simplify right side
    49,475.80x = 2,207,427,135.54
  5. Step 5: Solve for x
    x = 2,207,427,135.54/49,475.80
  6. Step 6: Final answer
    x = 44,616.30

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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.