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Finding the Fourth Proportional to 33,856.97, 50,793.65 and 10,164.47

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Solution

The fourth proportional to 33,856.97, 50,793.65 and 10,164.47 is: 15,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,856.97 : 50,793.65 = 10,164.47 : x
  2. Step 2: Convert to fraction form
    33,856.97/50,793.65 = 10,164.47/x
  3. Step 3: Cross multiply
    33,856.97x = 50,793.65 × 10,164.47
  4. Step 4: Simplify right side
    33,856.97x = 516,290,531.62
  5. Step 5: Solve for x
    x = 516,290,531.62/33,856.97
  6. Step 6: Final answer
    x = 15,249.17

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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.