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Finding the Fourth Proportional to 29,456.44, 44,183.22 and 10,987

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Solution

The fourth proportional to 29,456.44, 44,183.22 and 10,987 is: 16,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,456.44 : 44,183.22 = 10,987 : x
  2. Step 2: Convert to fraction form
    29,456.44/44,183.22 = 10,987/x
  3. Step 3: Cross multiply
    29,456.44x = 44,183.22 × 10,987
  4. Step 4: Simplify right side
    29,456.44x = 485,441,038.14
  5. Step 5: Solve for x
    x = 485,441,038.14/29,456.44
  6. Step 6: Final answer
    x = 16,479.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.