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Finding the Fourth Proportional to 33,214.25, 49,774.75 and 18,182.73

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Solution

The fourth proportional to 33,214.25, 49,774.75 and 18,182.73 is: 27,248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214.25 : 49,774.75 = 18,182.73 : x
  2. Step 2: Convert to fraction form
    33,214.25/49,774.75 = 18,182.73/x
  3. Step 3: Cross multiply
    33,214.25x = 49,774.75 × 18,182.73
  4. Step 4: Simplify right side
    33,214.25x = 905,040,803.56
  5. Step 5: Solve for x
    x = 905,040,803.56/33,214.25
  6. Step 6: Final answer
    x = 27,248.57

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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.