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Finding the Fourth Proportional to 31,267.86, 43,149.22 and 17,120.71

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Solution

The fourth proportional to 31,267.86, 43,149.22 and 17,120.71 is: 23,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,267.86 : 43,149.22 = 17,120.71 : x
  2. Step 2: Convert to fraction form
    31,267.86/43,149.22 = 17,120.71/x
  3. Step 3: Cross multiply
    31,267.86x = 43,149.22 × 17,120.71
  4. Step 4: Simplify right side
    31,267.86x = 738,745,066.60
  5. Step 5: Solve for x
    x = 738,745,066.60/31,267.86
  6. Step 6: Final answer
    x = 23,626.34

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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.