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Finding the Fourth Proportional to 33,081.57, 49,630.50 and 16,449.48

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Solution

The fourth proportional to 33,081.57, 49,630.50 and 16,449.48 is: 24,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,081.57 : 49,630.50 = 16,449.48 : x
  2. Step 2: Convert to fraction form
    33,081.57/49,630.50 = 16,449.48/x
  3. Step 3: Cross multiply
    33,081.57x = 49,630.50 × 16,449.48
  4. Step 4: Simplify right side
    33,081.57x = 816,395,917.14
  5. Step 5: Solve for x
    x = 816,395,917.14/33,081.57
  6. Step 6: Final answer
    x = 24,678.27

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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.