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Finding the Fourth Proportional to 102,249.97, 153,367.62 and 32,149.33

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Solution

The fourth proportional to 102,249.97, 153,367.62 and 32,149.33 is: 48,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,249.97 : 153,367.62 = 32,149.33 : x
  2. Step 2: Convert to fraction form
    102,249.97/153,367.62 = 32,149.33/x
  3. Step 3: Cross multiply
    102,249.97x = 153,367.62 × 32,149.33
  4. Step 4: Simplify right side
    102,249.97x = 4,930,666,226.69
  5. Step 5: Solve for x
    x = 4,930,666,226.69/102,249.97
  6. Step 6: Final answer
    x = 48,221.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.