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Finding the Fourth Proportional to 52,494.80, 78,793.40 and 26,229.20

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Solution

The fourth proportional to 52,494.80, 78,793.40 and 26,229.20 is: 39,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,494.80 : 78,793.40 = 26,229.20 : x
  2. Step 2: Convert to fraction form
    52,494.80/78,793.40 = 26,229.20/x
  3. Step 3: Cross multiply
    52,494.80x = 78,793.40 × 26,229.20
  4. Step 4: Simplify right side
    52,494.80x = 2,066,687,847.28
  5. Step 5: Solve for x
    x = 2,066,687,847.28/52,494.80
  6. Step 6: Final answer
    x = 39,369.38

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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.