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Finding the Fourth Proportional to 33,414.32, 50,109.96 and 13,687.28

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Solution

The fourth proportional to 33,414.32, 50,109.96 and 13,687.28 is: 20,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,414.32 : 50,109.96 = 13,687.28 : x
  2. Step 2: Convert to fraction form
    33,414.32/50,109.96 = 13,687.28/x
  3. Step 3: Cross multiply
    33,414.32x = 50,109.96 × 13,687.28
  4. Step 4: Simplify right side
    33,414.32x = 685,869,053.31
  5. Step 5: Solve for x
    x = 685,869,053.31/33,414.32
  6. Step 6: Final answer
    x = 20,526.20

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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.