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Finding the Fourth Proportional to 32,249.25, 48,375.70 and 11,472.75

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Solution

The fourth proportional to 32,249.25, 48,375.70 and 11,472.75 is: 17,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,249.25 : 48,375.70 = 11,472.75 : x
  2. Step 2: Convert to fraction form
    32,249.25/48,375.70 = 11,472.75/x
  3. Step 3: Cross multiply
    32,249.25x = 48,375.70 × 11,472.75
  4. Step 4: Simplify right side
    32,249.25x = 555,002,283.49
  5. Step 5: Solve for x
    x = 555,002,283.49/32,249.25
  6. Step 6: Final answer
    x = 17,209.77

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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.