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Finding the Fourth Proportional to 49,744.55, 74,452.80 and 34,982.30

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Solution

The fourth proportional to 49,744.55, 74,452.80 and 34,982.30 is: 52,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,744.55 : 74,452.80 = 34,982.30 : x
  2. Step 2: Convert to fraction form
    49,744.55/74,452.80 = 34,982.30/x
  3. Step 3: Cross multiply
    49,744.55x = 74,452.80 × 34,982.30
  4. Step 4: Simplify right side
    49,744.55x = 2,604,530,185.44
  5. Step 5: Solve for x
    x = 2,604,530,185.44/49,744.55
  6. Step 6: Final answer
    x = 52,358.10

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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.