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Finding the Fourth Proportional to 29,782.86, 41,101.56 and 17,843.94

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Solution

The fourth proportional to 29,782.86, 41,101.56 and 17,843.94 is: 24,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.86 : 41,101.56 = 17,843.94 : x
  2. Step 2: Convert to fraction form
    29,782.86/41,101.56 = 17,843.94/x
  3. Step 3: Cross multiply
    29,782.86x = 41,101.56 × 17,843.94
  4. Step 4: Simplify right side
    29,782.86x = 733,413,770.55
  5. Step 5: Solve for x
    x = 733,413,770.55/29,782.86
  6. Step 6: Final answer
    x = 24,625.36

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