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Finding the Fourth Proportional to 33,223.52, 49,843.36 and 9,531.52

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Solution

The fourth proportional to 33,223.52, 49,843.36 and 9,531.52 is: 14,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,223.52 : 49,843.36 = 9,531.52 : x
  2. Step 2: Convert to fraction form
    33,223.52/49,843.36 = 9,531.52/x
  3. Step 3: Cross multiply
    33,223.52x = 49,843.36 × 9,531.52
  4. Step 4: Simplify right side
    33,223.52x = 475,082,982.71
  5. Step 5: Solve for x
    x = 475,082,982.71/33,223.52
  6. Step 6: Final answer
    x = 14,299.60

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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.