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Finding the Fourth Proportional to 33,033.76, 49,516 and 10,841.44

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Solution

The fourth proportional to 33,033.76, 49,516 and 10,841.44 is: 16,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,033.76 : 49,516 = 10,841.44 : x
  2. Step 2: Convert to fraction form
    33,033.76/49,516 = 10,841.44/x
  3. Step 3: Cross multiply
    33,033.76x = 49,516 × 10,841.44
  4. Step 4: Simplify right side
    33,033.76x = 536,824,743.04
  5. Step 5: Solve for x
    x = 536,824,743.04/33,033.76
  6. Step 6: Final answer
    x = 16,250.79

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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.