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Finding the Fourth Proportional to 33,472.89, 50,209.67 and 8,512.94

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Solution

The fourth proportional to 33,472.89, 50,209.67 and 8,512.94 is: 12,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,472.89 : 50,209.67 = 8,512.94 : x
  2. Step 2: Convert to fraction form
    33,472.89/50,209.67 = 8,512.94/x
  3. Step 3: Cross multiply
    33,472.89x = 50,209.67 × 8,512.94
  4. Step 4: Simplify right side
    33,472.89x = 427,431,614.52
  5. Step 5: Solve for x
    x = 427,431,614.52/33,472.89
  6. Step 6: Final answer
    x = 12,769.49

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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.