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Finding the Fourth Proportional to 29,841.81, 41,181.78 and 16,414.44

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Solution

The fourth proportional to 29,841.81, 41,181.78 and 16,414.44 is: 22,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,841.81 : 41,181.78 = 16,414.44 : x
  2. Step 2: Convert to fraction form
    29,841.81/41,181.78 = 16,414.44/x
  3. Step 3: Cross multiply
    29,841.81x = 41,181.78 × 16,414.44
  4. Step 4: Simplify right side
    29,841.81x = 675,975,856.90
  5. Step 5: Solve for x
    x = 675,975,856.90/29,841.81
  6. Step 6: Final answer
    x = 22,651.97

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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.