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Finding the Fourth Proportional to 33,902.78, 50,798.07 and 24,024.42

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Solution

The fourth proportional to 33,902.78, 50,798.07 and 24,024.42 is: 35,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,902.78 : 50,798.07 = 24,024.42 : x
  2. Step 2: Convert to fraction form
    33,902.78/50,798.07 = 24,024.42/x
  3. Step 3: Cross multiply
    33,902.78x = 50,798.07 × 24,024.42
  4. Step 4: Simplify right side
    33,902.78x = 1,220,394,168.87
  5. Step 5: Solve for x
    x = 1,220,394,168.87/33,902.78
  6. Step 6: Final answer
    x = 35,996.88

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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.