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Finding the Fourth Proportional to 31,694.41, 43,735.25 and 18,945.07

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Solution

The fourth proportional to 31,694.41, 43,735.25 and 18,945.07 is: 26,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,694.41 : 43,735.25 = 18,945.07 : x
  2. Step 2: Convert to fraction form
    31,694.41/43,735.25 = 18,945.07/x
  3. Step 3: Cross multiply
    31,694.41x = 43,735.25 × 18,945.07
  4. Step 4: Simplify right side
    31,694.41x = 828,567,310.74
  5. Step 5: Solve for x
    x = 828,567,310.74/31,694.41
  6. Step 6: Final answer
    x = 26,142.38

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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.