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Finding the Fourth Proportional to 31,183.72, 43,041.38 and 20,025.16

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Solution

The fourth proportional to 31,183.72, 43,041.38 and 20,025.16 is: 27,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,183.72 : 43,041.38 = 20,025.16 : x
  2. Step 2: Convert to fraction form
    31,183.72/43,041.38 = 20,025.16/x
  3. Step 3: Cross multiply
    31,183.72x = 43,041.38 × 20,025.16
  4. Step 4: Simplify right side
    31,183.72x = 861,910,521.12
  5. Step 5: Solve for x
    x = 861,910,521.12/31,183.72
  6. Step 6: Final answer
    x = 27,639.76

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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.