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Finding the Fourth Proportional to 33,981.28, 50,914.40 and 20,806.14

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Solution

The fourth proportional to 33,981.28, 50,914.40 and 20,806.14 is: 31,173.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,981.28 : 50,914.40 = 20,806.14 : x
  2. Step 2: Convert to fraction form
    33,981.28/50,914.40 = 20,806.14/x
  3. Step 3: Cross multiply
    33,981.28x = 50,914.40 × 20,806.14
  4. Step 4: Simplify right side
    33,981.28x = 1,059,332,134.42
  5. Step 5: Solve for x
    x = 1,059,332,134.42/33,981.28
  6. Step 6: Final answer
    x = 31,173.99

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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.