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Finding the Fourth Proportional to 100,716.75, 151,042.86 and 33,233.69

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Solution

The fourth proportional to 100,716.75, 151,042.86 and 33,233.69 is: 49,839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,716.75 : 151,042.86 = 33,233.69 : x
  2. Step 2: Convert to fraction form
    100,716.75/151,042.86 = 33,233.69/x
  3. Step 3: Cross multiply
    100,716.75x = 151,042.86 × 33,233.69
  4. Step 4: Simplify right side
    100,716.75x = 5,019,711,963.56
  5. Step 5: Solve for x
    x = 5,019,711,963.56/100,716.75
  6. Step 6: Final answer
    x = 49,839.89

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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.