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Finding the Fourth Proportional to 33,781.44, 50,680.80 and 14,053.44

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Solution

The fourth proportional to 33,781.44, 50,680.80 and 14,053.44 is: 21,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,781.44 : 50,680.80 = 14,053.44 : x
  2. Step 2: Convert to fraction form
    33,781.44/50,680.80 = 14,053.44/x
  3. Step 3: Cross multiply
    33,781.44x = 50,680.80 × 14,053.44
  4. Step 4: Simplify right side
    33,781.44x = 712,239,581.95
  5. Step 5: Solve for x
    x = 712,239,581.95/33,781.44
  6. Step 6: Final answer
    x = 21,083.75

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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.