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Finding the Fourth Proportional to 31,691.72, 43,727.18 and 21,641.09

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Solution

The fourth proportional to 31,691.72, 43,727.18 and 21,641.09 is: 29,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,691.72 : 43,727.18 = 21,641.09 : x
  2. Step 2: Convert to fraction form
    31,691.72/43,727.18 = 21,641.09/x
  3. Step 3: Cross multiply
    31,691.72x = 43,727.18 × 21,641.09
  4. Step 4: Simplify right side
    31,691.72x = 946,303,510.98
  5. Step 5: Solve for x
    x = 946,303,510.98/31,691.72
  6. Step 6: Final answer
    x = 29,859.65

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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.