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Finding the Fourth Proportional to 31,974.98, 44,131.12 and 20,048.54

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Solution

The fourth proportional to 31,974.98, 44,131.12 and 20,048.54 is: 27,670.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,974.98 : 44,131.12 = 20,048.54 : x
  2. Step 2: Convert to fraction form
    31,974.98/44,131.12 = 20,048.54/x
  3. Step 3: Cross multiply
    31,974.98x = 44,131.12 × 20,048.54
  4. Step 4: Simplify right side
    31,974.98x = 884,764,524.56
  5. Step 5: Solve for x
    x = 884,764,524.56/31,974.98
  6. Step 6: Final answer
    x = 27,670.53

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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.