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Finding the Fourth Proportional to 33,493.96, 50,215.02 and 15,013

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Solution

The fourth proportional to 33,493.96, 50,215.02 and 15,013 is: 22,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,493.96 : 50,215.02 = 15,013 : x
  2. Step 2: Convert to fraction form
    33,493.96/50,215.02 = 15,013/x
  3. Step 3: Cross multiply
    33,493.96x = 50,215.02 × 15,013
  4. Step 4: Simplify right side
    33,493.96x = 753,878,095.26
  5. Step 5: Solve for x
    x = 753,878,095.26/33,493.96
  6. Step 6: Final answer
    x = 22,507.88

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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.