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Finding the Fourth Proportional to 33,506.20, 50,256.86 and 13,517

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Solution

The fourth proportional to 33,506.20, 50,256.86 and 13,517 is: 20,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,506.20 : 50,256.86 = 13,517 : x
  2. Step 2: Convert to fraction form
    33,506.20/50,256.86 = 13,517/x
  3. Step 3: Cross multiply
    33,506.20x = 50,256.86 × 13,517
  4. Step 4: Simplify right side
    33,506.20x = 679,321,976.62
  5. Step 5: Solve for x
    x = 679,321,976.62/33,506.20
  6. Step 6: Final answer
    x = 20,274.52

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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.