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Finding the Fourth Proportional to 75,227.82, 103,777.65 and 63,286.80

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Solution

The fourth proportional to 75,227.82, 103,777.65 and 63,286.80 is: 87,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,227.82 : 103,777.65 = 63,286.80 : x
  2. Step 2: Convert to fraction form
    75,227.82/103,777.65 = 63,286.80/x
  3. Step 3: Cross multiply
    75,227.82x = 103,777.65 × 63,286.80
  4. Step 4: Simplify right side
    75,227.82x = 6,567,755,380.02
  5. Step 5: Solve for x
    x = 6,567,755,380.02/75,227.82
  6. Step 6: Final answer
    x = 87,304.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.