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Finding the Fourth Proportional to 33,472.78, 50,207.66 and 14,747.82

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Solution

The fourth proportional to 33,472.78, 50,207.66 and 14,747.82 is: 22,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,472.78 : 50,207.66 = 14,747.82 : x
  2. Step 2: Convert to fraction form
    33,472.78/50,207.66 = 14,747.82/x
  3. Step 3: Cross multiply
    33,472.78x = 50,207.66 × 14,747.82
  4. Step 4: Simplify right side
    33,472.78x = 740,453,532.30
  5. Step 5: Solve for x
    x = 740,453,532.30/33,472.78
  6. Step 6: Final answer
    x = 22,121.06

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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.