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Finding the Fourth Proportional to 33,241.74, 45,869.50 and 20,327.50

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Solution

The fourth proportional to 33,241.74, 45,869.50 and 20,327.50 is: 28,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,241.74 : 45,869.50 = 20,327.50 : x
  2. Step 2: Convert to fraction form
    33,241.74/45,869.50 = 20,327.50/x
  3. Step 3: Cross multiply
    33,241.74x = 45,869.50 × 20,327.50
  4. Step 4: Simplify right side
    33,241.74x = 932,412,261.25
  5. Step 5: Solve for x
    x = 932,412,261.25/33,241.74
  6. Step 6: Final answer
    x = 28,049.44

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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.