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Finding the Fourth Proportional to 31,727.34, 43,773.84 and 18,296.82

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Solution

The fourth proportional to 31,727.34, 43,773.84 and 18,296.82 is: 25,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,727.34 : 43,773.84 = 18,296.82 : x
  2. Step 2: Convert to fraction form
    31,727.34/43,773.84 = 18,296.82/x
  3. Step 3: Cross multiply
    31,727.34x = 43,773.84 × 18,296.82
  4. Step 4: Simplify right side
    31,727.34x = 800,922,071.19
  5. Step 5: Solve for x
    x = 800,922,071.19/31,727.34
  6. Step 6: Final answer
    x = 25,243.91

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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.