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Finding the Fourth Proportional to 32,227.11, 48,323.46 and 11,161.74

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Solution

The fourth proportional to 32,227.11, 48,323.46 and 11,161.74 is: 16,736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,227.11 : 48,323.46 = 11,161.74 : x
  2. Step 2: Convert to fraction form
    32,227.11/48,323.46 = 11,161.74/x
  3. Step 3: Cross multiply
    32,227.11x = 48,323.46 × 11,161.74
  4. Step 4: Simplify right side
    32,227.11x = 539,373,896.42
  5. Step 5: Solve for x
    x = 539,373,896.42/32,227.11
  6. Step 6: Final answer
    x = 16,736.65

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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.