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Finding the Fourth Proportional to 31,715, 43,650.18 and 27,187.92

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Solution

The fourth proportional to 31,715, 43,650.18 and 27,187.92 is: 37,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715 : 43,650.18 = 27,187.92 : x
  2. Step 2: Convert to fraction form
    31,715/43,650.18 = 27,187.92/x
  3. Step 3: Cross multiply
    31,715x = 43,650.18 × 27,187.92
  4. Step 4: Simplify right side
    31,715x = 1,186,757,601.83
  5. Step 5: Solve for x
    x = 1,186,757,601.83/31,715
  6. Step 6: Final answer
    x = 37,419.44

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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.