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Finding the Fourth Proportional to 33,614.94, 50,422.42 and 10,241.40

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Solution

The fourth proportional to 33,614.94, 50,422.42 and 10,241.40 is: 15,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,614.94 : 50,422.42 = 10,241.40 : x
  2. Step 2: Convert to fraction form
    33,614.94/50,422.42 = 10,241.40/x
  3. Step 3: Cross multiply
    33,614.94x = 50,422.42 × 10,241.40
  4. Step 4: Simplify right side
    33,614.94x = 516,396,172.19
  5. Step 5: Solve for x
    x = 516,396,172.19/33,614.94
  6. Step 6: Final answer
    x = 15,362.10

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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.