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Finding the Fourth Proportional to 33,049.49, 49,563.70 and 10,857.71

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Solution

The fourth proportional to 33,049.49, 49,563.70 and 10,857.71 is: 16,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,049.49 : 49,563.70 = 10,857.71 : x
  2. Step 2: Convert to fraction form
    33,049.49/49,563.70 = 10,857.71/x
  3. Step 3: Cross multiply
    33,049.49x = 49,563.70 × 10,857.71
  4. Step 4: Simplify right side
    33,049.49x = 538,148,377.89
  5. Step 5: Solve for x
    x = 538,148,377.89/33,049.49
  6. Step 6: Final answer
    x = 16,283.11

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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.