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Finding the Fourth Proportional to 33,044.28, 49,584.06 and 15,514.28

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Solution

The fourth proportional to 33,044.28, 49,584.06 and 15,514.28 is: 23,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,044.28 : 49,584.06 = 15,514.28 : x
  2. Step 2: Convert to fraction form
    33,044.28/49,584.06 = 15,514.28/x
  3. Step 3: Cross multiply
    33,044.28x = 49,584.06 × 15,514.28
  4. Step 4: Simplify right side
    33,044.28x = 769,260,990.38
  5. Step 5: Solve for x
    x = 769,260,990.38/33,044.28
  6. Step 6: Final answer
    x = 23,279.70

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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.