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Finding the Fourth Proportional to 31,660.16, 43,890.82 and 29,974.82

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Solution

The fourth proportional to 31,660.16, 43,890.82 and 29,974.82 is: 41,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,660.16 : 43,890.82 = 29,974.82 : x
  2. Step 2: Convert to fraction form
    31,660.16/43,890.82 = 29,974.82/x
  3. Step 3: Cross multiply
    31,660.16x = 43,890.82 × 29,974.82
  4. Step 4: Simplify right side
    31,660.16x = 1,315,619,059.82
  5. Step 5: Solve for x
    x = 1,315,619,059.82/31,660.16
  6. Step 6: Final answer
    x = 41,554.41

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.