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Finding the Fourth Proportional to 33,982.28, 50,915.90 and 20,807.14

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Solution

The fourth proportional to 33,982.28, 50,915.90 and 20,807.14 is: 31,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,982.28 : 50,915.90 = 20,807.14 : x
  2. Step 2: Convert to fraction form
    33,982.28/50,915.90 = 20,807.14/x
  3. Step 3: Cross multiply
    33,982.28x = 50,915.90 × 20,807.14
  4. Step 4: Simplify right side
    33,982.28x = 1,059,414,259.53
  5. Step 5: Solve for x
    x = 1,059,414,259.53/33,982.28
  6. Step 6: Final answer
    x = 31,175.49

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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.