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Finding the Fourth Proportional to 33,097.26, 49,662.34 and 20,614.12

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Solution

The fourth proportional to 33,097.26, 49,662.34 and 20,614.12 is: 30,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097.26 : 49,662.34 = 20,614.12 : x
  2. Step 2: Convert to fraction form
    33,097.26/49,662.34 = 20,614.12/x
  3. Step 3: Cross multiply
    33,097.26x = 49,662.34 × 20,614.12
  4. Step 4: Simplify right side
    33,097.26x = 1,023,745,436.24
  5. Step 5: Solve for x
    x = 1,023,745,436.24/33,097.26
  6. Step 6: Final answer
    x = 30,931.43

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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.