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Finding the Fourth Proportional to 33,643.93, 50,471.84 and 13,911.43

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Solution

The fourth proportional to 33,643.93, 50,471.84 and 13,911.43 is: 20,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,643.93 : 50,471.84 = 13,911.43 : x
  2. Step 2: Convert to fraction form
    33,643.93/50,471.84 = 13,911.43/x
  3. Step 3: Cross multiply
    33,643.93x = 50,471.84 × 13,911.43
  4. Step 4: Simplify right side
    33,643.93x = 702,135,469.13
  5. Step 5: Solve for x
    x = 702,135,469.13/33,643.93
  6. Step 6: Final answer
    x = 20,869.60

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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.