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Finding the Fourth Proportional to 95,992.34, 143,987.90 and 32,781.96

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Solution

The fourth proportional to 95,992.34, 143,987.90 and 32,781.96 is: 49,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,992.34 : 143,987.90 = 32,781.96 : x
  2. Step 2: Convert to fraction form
    95,992.34/143,987.90 = 32,781.96/x
  3. Step 3: Cross multiply
    95,992.34x = 143,987.90 × 32,781.96
  4. Step 4: Simplify right side
    95,992.34x = 4,720,205,414.37
  5. Step 5: Solve for x
    x = 4,720,205,414.37/95,992.34
  6. Step 6: Final answer
    x = 49,172.73

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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.