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Finding the Fourth Proportional to 67,231.44, 100,830.96 and 29,770.80

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Solution

The fourth proportional to 67,231.44, 100,830.96 and 29,770.80 is: 44,649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,231.44 : 100,830.96 = 29,770.80 : x
  2. Step 2: Convert to fraction form
    67,231.44/100,830.96 = 29,770.80/x
  3. Step 3: Cross multiply
    67,231.44x = 100,830.96 × 29,770.80
  4. Step 4: Simplify right side
    67,231.44x = 3,001,818,343.97
  5. Step 5: Solve for x
    x = 3,001,818,343.97/67,231.44
  6. Step 6: Final answer
    x = 44,649.03

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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.