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Finding the Fourth Proportional to 45,882.70, 63,321.18 and 25,741

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Solution

The fourth proportional to 45,882.70, 63,321.18 and 25,741 is: 35,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,882.70 : 63,321.18 = 25,741 : x
  2. Step 2: Convert to fraction form
    45,882.70/63,321.18 = 25,741/x
  3. Step 3: Cross multiply
    45,882.70x = 63,321.18 × 25,741
  4. Step 4: Simplify right side
    45,882.70x = 1,629,950,494.38
  5. Step 5: Solve for x
    x = 1,629,950,494.38/45,882.70
  6. Step 6: Final answer
    x = 35,524.29

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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.