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Finding the Fourth Proportional to 33,691.88, 50,538 and 10,318.28

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Solution

The fourth proportional to 33,691.88, 50,538 and 10,318.28 is: 15,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,691.88 : 50,538 = 10,318.28 : x
  2. Step 2: Convert to fraction form
    33,691.88/50,538 = 10,318.28/x
  3. Step 3: Cross multiply
    33,691.88x = 50,538 × 10,318.28
  4. Step 4: Simplify right side
    33,691.88x = 521,465,234.64
  5. Step 5: Solve for x
    x = 521,465,234.64/33,691.88
  6. Step 6: Final answer
    x = 15,477.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.