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Finding the Fourth Proportional to 33,771.35, 50,665.19 and 11,578.83

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Solution

The fourth proportional to 33,771.35, 50,665.19 and 11,578.83 is: 17,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,771.35 : 50,665.19 = 11,578.83 : x
  2. Step 2: Convert to fraction form
    33,771.35/50,665.19 = 11,578.83/x
  3. Step 3: Cross multiply
    33,771.35x = 50,665.19 × 11,578.83
  4. Step 4: Simplify right side
    33,771.35x = 586,643,564.03
  5. Step 5: Solve for x
    x = 586,643,564.03/33,771.35
  6. Step 6: Final answer
    x = 17,371.05

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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.