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Finding the Fourth Proportional to 41,180.98, 61,782.99 and 13,498.42

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Solution

The fourth proportional to 41,180.98, 61,782.99 and 13,498.42 is: 20,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,180.98 : 61,782.99 = 13,498.42 : x
  2. Step 2: Convert to fraction form
    41,180.98/61,782.99 = 13,498.42/x
  3. Step 3: Cross multiply
    41,180.98x = 61,782.99 × 13,498.42
  4. Step 4: Simplify right side
    41,180.98x = 833,972,747.88
  5. Step 5: Solve for x
    x = 833,972,747.88/41,180.98
  6. Step 6: Final answer
    x = 20,251.41

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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.