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Finding the Fourth Proportional to 33,013.20, 49,519.80 and 10,827.30

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Solution

The fourth proportional to 33,013.20, 49,519.80 and 10,827.30 is: 16,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,013.20 : 49,519.80 = 10,827.30 : x
  2. Step 2: Convert to fraction form
    33,013.20/49,519.80 = 10,827.30/x
  3. Step 3: Cross multiply
    33,013.20x = 49,519.80 × 10,827.30
  4. Step 4: Simplify right side
    33,013.20x = 536,165,730.54
  5. Step 5: Solve for x
    x = 536,165,730.54/33,013.20
  6. Step 6: Final answer
    x = 16,240.95

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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.