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Finding the Fourth Proportional to 49,425.80, 74,138.70 and 24,469.70

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Solution

The fourth proportional to 49,425.80, 74,138.70 and 24,469.70 is: 36,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,425.80 : 74,138.70 = 24,469.70 : x
  2. Step 2: Convert to fraction form
    49,425.80/74,138.70 = 24,469.70/x
  3. Step 3: Cross multiply
    49,425.80x = 74,138.70 × 24,469.70
  4. Step 4: Simplify right side
    49,425.80x = 1,814,151,747.39
  5. Step 5: Solve for x
    x = 1,814,151,747.39/49,425.80
  6. Step 6: Final answer
    x = 36,704.55

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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.