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Finding the Fourth Proportional to 33,691.68, 50,528.82 and 9,993.66

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Solution

The fourth proportional to 33,691.68, 50,528.82 and 9,993.66 is: 14,987.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,691.68 : 50,528.82 = 9,993.66 : x
  2. Step 2: Convert to fraction form
    33,691.68/50,528.82 = 9,993.66/x
  3. Step 3: Cross multiply
    33,691.68x = 50,528.82 × 9,993.66
  4. Step 4: Simplify right side
    33,691.68x = 504,967,847.28
  5. Step 5: Solve for x
    x = 504,967,847.28/33,691.68
  6. Step 6: Final answer
    x = 14,987.91

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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.