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Finding the Fourth Proportional to 31,291.50, 43,182.30 and 17,144.46

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Solution

The fourth proportional to 31,291.50, 43,182.30 and 17,144.46 is: 23,659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,291.50 : 43,182.30 = 17,144.46 : x
  2. Step 2: Convert to fraction form
    31,291.50/43,182.30 = 17,144.46/x
  3. Step 3: Cross multiply
    31,291.50x = 43,182.30 × 17,144.46
  4. Step 4: Simplify right side
    31,291.50x = 740,337,215.06
  5. Step 5: Solve for x
    x = 740,337,215.06/31,291.50
  6. Step 6: Final answer
    x = 23,659.37

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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.