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Finding the Fourth Proportional to 33,065.24, 49,597.88 and 8,441.24

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Solution

The fourth proportional to 33,065.24, 49,597.88 and 8,441.24 is: 12,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,065.24 : 49,597.88 = 8,441.24 : x
  2. Step 2: Convert to fraction form
    33,065.24/49,597.88 = 8,441.24/x
  3. Step 3: Cross multiply
    33,065.24x = 49,597.88 × 8,441.24
  4. Step 4: Simplify right side
    33,065.24x = 418,667,608.57
  5. Step 5: Solve for x
    x = 418,667,608.57/33,065.24
  6. Step 6: Final answer
    x = 12,661.87

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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.