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Finding the Fourth Proportional to 33,227.60, 49,846.38 and 10,730.76

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Solution

The fourth proportional to 33,227.60, 49,846.38 and 10,730.76 is: 16,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,227.60 : 49,846.38 = 10,730.76 : x
  2. Step 2: Convert to fraction form
    33,227.60/49,846.38 = 10,730.76/x
  3. Step 3: Cross multiply
    33,227.60x = 49,846.38 × 10,730.76
  4. Step 4: Simplify right side
    33,227.60x = 534,889,540.65
  5. Step 5: Solve for x
    x = 534,889,540.65/33,227.60
  6. Step 6: Final answer
    x = 16,097.75

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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.