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Finding the Fourth Proportional to 33,546.97, 50,301.01 and 13,803.22

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Solution

The fourth proportional to 33,546.97, 50,301.01 and 13,803.22 is: 20,696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,546.97 : 50,301.01 = 13,803.22 : x
  2. Step 2: Convert to fraction form
    33,546.97/50,301.01 = 13,803.22/x
  3. Step 3: Cross multiply
    33,546.97x = 50,301.01 × 13,803.22
  4. Step 4: Simplify right side
    33,546.97x = 694,315,907.25
  5. Step 5: Solve for x
    x = 694,315,907.25/33,546.97
  6. Step 6: Final answer
    x = 20,696.83

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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.