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Finding the Fourth Proportional to 31,879.68, 43,993.32 and 17,732.22

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Solution

The fourth proportional to 31,879.68, 43,993.32 and 17,732.22 is: 24,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.68 : 43,993.32 = 17,732.22 : x
  2. Step 2: Convert to fraction form
    31,879.68/43,993.32 = 17,732.22/x
  3. Step 3: Cross multiply
    31,879.68x = 43,993.32 × 17,732.22
  4. Step 4: Simplify right side
    31,879.68x = 780,099,228.77
  5. Step 5: Solve for x
    x = 780,099,228.77/31,879.68
  6. Step 6: Final answer
    x = 24,470.11

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1.5x scale

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.