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Finding the Fourth Proportional to 33,500.67, 49,996.56 and 32,144.39

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Solution

The fourth proportional to 33,500.67, 49,996.56 and 32,144.39 is: 47,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,500.67 : 49,996.56 = 32,144.39 : x
  2. Step 2: Convert to fraction form
    33,500.67/49,996.56 = 32,144.39/x
  3. Step 3: Cross multiply
    33,500.67x = 49,996.56 × 32,144.39
  4. Step 4: Simplify right side
    33,500.67x = 1,607,108,673.32
  5. Step 5: Solve for x
    x = 1,607,108,673.32/33,500.67
  6. Step 6: Final answer
    x = 47,972.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.