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Finding the Fourth Proportional to 32,832.30, 49,249.17 and 11,773.74

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Solution

The fourth proportional to 32,832.30, 49,249.17 and 11,773.74 is: 17,660.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832.30 : 49,249.17 = 11,773.74 : x
  2. Step 2: Convert to fraction form
    32,832.30/49,249.17 = 11,773.74/x
  3. Step 3: Cross multiply
    32,832.30x = 49,249.17 × 11,773.74
  4. Step 4: Simplify right side
    32,832.30x = 579,846,922.80
  5. Step 5: Solve for x
    x = 579,846,922.80/32,832.30
  6. Step 6: Final answer
    x = 17,660.87

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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.