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Finding the Fourth Proportional to 31,279.28, 43,164.78 and 17,132

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Solution

The fourth proportional to 31,279.28, 43,164.78 and 17,132 is: 23,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,279.28 : 43,164.78 = 17,132 : x
  2. Step 2: Convert to fraction form
    31,279.28/43,164.78 = 17,132/x
  3. Step 3: Cross multiply
    31,279.28x = 43,164.78 × 17,132
  4. Step 4: Simplify right side
    31,279.28x = 739,499,010.96
  5. Step 5: Solve for x
    x = 739,499,010.96/31,279.28
  6. Step 6: Final answer
    x = 23,641.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.