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Finding the Fourth Proportional to 29,963.10, 44,944.65 and 9,183.90

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Solution

The fourth proportional to 29,963.10, 44,944.65 and 9,183.90 is: 13,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,963.10 : 44,944.65 = 9,183.90 : x
  2. Step 2: Convert to fraction form
    29,963.10/44,944.65 = 9,183.90/x
  3. Step 3: Cross multiply
    29,963.10x = 44,944.65 × 9,183.90
  4. Step 4: Simplify right side
    29,963.10x = 412,767,171.14
  5. Step 5: Solve for x
    x = 412,767,171.14/29,963.10
  6. Step 6: Final answer
    x = 13,775.85

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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.