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Finding the Fourth Proportional to 33,593.69, 50,375.94 and 10,214.66

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Solution

The fourth proportional to 33,593.69, 50,375.94 and 10,214.66 is: 15,317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,593.69 : 50,375.94 = 10,214.66 : x
  2. Step 2: Convert to fraction form
    33,593.69/50,375.94 = 10,214.66/x
  3. Step 3: Cross multiply
    33,593.69x = 50,375.94 × 10,214.66
  4. Step 4: Simplify right side
    33,593.69x = 514,573,099.28
  5. Step 5: Solve for x
    x = 514,573,099.28/33,593.69
  6. Step 6: Final answer
    x = 15,317.55

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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.