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Finding the Fourth Proportional to 31,278.44, 43,164.96 and 17,131.16

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Solution

The fourth proportional to 31,278.44, 43,164.96 and 17,131.16 is: 23,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,278.44 : 43,164.96 = 17,131.16 : x
  2. Step 2: Convert to fraction form
    31,278.44/43,164.96 = 17,131.16/x
  3. Step 3: Cross multiply
    31,278.44x = 43,164.96 × 17,131.16
  4. Step 4: Simplify right side
    31,278.44x = 739,465,836.15
  5. Step 5: Solve for x
    x = 739,465,836.15/31,278.44
  6. Step 6: Final answer
    x = 23,641.39

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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.