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Finding the Fourth Proportional to 96,052.50, 144,079.56 and 33,723

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Solution

The fourth proportional to 96,052.50, 144,079.56 and 33,723 is: 50,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,052.50 : 144,079.56 = 33,723 : x
  2. Step 2: Convert to fraction form
    96,052.50/144,079.56 = 33,723/x
  3. Step 3: Cross multiply
    96,052.50x = 144,079.56 × 33,723
  4. Step 4: Simplify right side
    96,052.50x = 4,858,795,001.88
  5. Step 5: Solve for x
    x = 4,858,795,001.88/96,052.50
  6. Step 6: Final answer
    x = 50,584.78

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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.