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Finding the Fourth Proportional to 31,725, 43,780.50 and 17,579.97

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Solution

The fourth proportional to 31,725, 43,780.50 and 17,579.97 is: 24,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,725 : 43,780.50 = 17,579.97 : x
  2. Step 2: Convert to fraction form
    31,725/43,780.50 = 17,579.97/x
  3. Step 3: Cross multiply
    31,725x = 43,780.50 × 17,579.97
  4. Step 4: Simplify right side
    31,725x = 769,659,876.59
  5. Step 5: Solve for x
    x = 769,659,876.59/31,725
  6. Step 6: Final answer
    x = 24,260.36

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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.