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Finding the Fourth Proportional to 33,906.68, 50,851.92 and 11,720.84

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Solution

The fourth proportional to 33,906.68, 50,851.92 and 11,720.84 is: 17,578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,906.68 : 50,851.92 = 11,720.84 : x
  2. Step 2: Convert to fraction form
    33,906.68/50,851.92 = 11,720.84/x
  3. Step 3: Cross multiply
    33,906.68x = 50,851.92 × 11,720.84
  4. Step 4: Simplify right side
    33,906.68x = 596,027,218.01
  5. Step 5: Solve for x
    x = 596,027,218.01/33,906.68
  6. Step 6: Final answer
    x = 17,578.46

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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.