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Finding the Fourth Proportional to 33,142.98, 45,727 and 18,800.44

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Solution

The fourth proportional to 33,142.98, 45,727 and 18,800.44 is: 25,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,142.98 : 45,727 = 18,800.44 : x
  2. Step 2: Convert to fraction form
    33,142.98/45,727 = 18,800.44/x
  3. Step 3: Cross multiply
    33,142.98x = 45,727 × 18,800.44
  4. Step 4: Simplify right side
    33,142.98x = 859,687,719.88
  5. Step 5: Solve for x
    x = 859,687,719.88/33,142.98
  6. Step 6: Final answer
    x = 25,938.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.