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Finding the Fourth Proportional to 29,842.44, 41,183.70 and 16,414.32

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Solution

The fourth proportional to 29,842.44, 41,183.70 and 16,414.32 is: 22,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842.44 : 41,183.70 = 16,414.32 : x
  2. Step 2: Convert to fraction form
    29,842.44/41,183.70 = 16,414.32/x
  3. Step 3: Cross multiply
    29,842.44x = 41,183.70 × 16,414.32
  4. Step 4: Simplify right side
    29,842.44x = 676,002,430.58
  5. Step 5: Solve for x
    x = 676,002,430.58/29,842.44
  6. Step 6: Final answer
    x = 22,652.38

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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.