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Finding the Fourth Proportional to 31,846.17, 47,777.09 and 15,843.27

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Solution

The fourth proportional to 31,846.17, 47,777.09 and 15,843.27 is: 23,768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846.17 : 47,777.09 = 15,843.27 : x
  2. Step 2: Convert to fraction form
    31,846.17/47,777.09 = 15,843.27/x
  3. Step 3: Cross multiply
    31,846.17x = 47,777.09 × 15,843.27
  4. Step 4: Simplify right side
    31,846.17x = 756,945,018.58
  5. Step 5: Solve for x
    x = 756,945,018.58/31,846.17
  6. Step 6: Final answer
    x = 23,768.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.