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Finding the Fourth Proportional to 33,232.16, 49,843.14 and 12,167.24

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Solution

The fourth proportional to 33,232.16, 49,843.14 and 12,167.24 is: 18,248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,232.16 : 49,843.14 = 12,167.24 : x
  2. Step 2: Convert to fraction form
    33,232.16/49,843.14 = 12,167.24/x
  3. Step 3: Cross multiply
    33,232.16x = 49,843.14 × 12,167.24
  4. Step 4: Simplify right side
    33,232.16x = 606,453,446.73
  5. Step 5: Solve for x
    x = 606,453,446.73/33,232.16
  6. Step 6: Final answer
    x = 18,248.99

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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.