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Finding the Fourth Proportional to 33,883.97, 50,832.75 and 11,698.20

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Solution

The fourth proportional to 33,883.97, 50,832.75 and 11,698.20 is: 17,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,883.97 : 50,832.75 = 11,698.20 : x
  2. Step 2: Convert to fraction form
    33,883.97/50,832.75 = 11,698.20/x
  3. Step 3: Cross multiply
    33,883.97x = 50,832.75 × 11,698.20
  4. Step 4: Simplify right side
    33,883.97x = 594,651,676.05
  5. Step 5: Solve for x
    x = 594,651,676.05/33,883.97
  6. Step 6: Final answer
    x = 17,549.65

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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.