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Finding the Fourth Proportional to 63,843, 95,764.50 and 20,067

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Solution

The fourth proportional to 63,843, 95,764.50 and 20,067 is: 30,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,843 : 95,764.50 = 20,067 : x
  2. Step 2: Convert to fraction form
    63,843/95,764.50 = 20,067/x
  3. Step 3: Cross multiply
    63,843x = 95,764.50 × 20,067
  4. Step 4: Simplify right side
    63,843x = 1,921,706,221.50
  5. Step 5: Solve for x
    x = 1,921,706,221.50/63,843
  6. Step 6: Final answer
    x = 30,100.50

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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.