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Finding the Fourth Proportional to 31,723.84, 43,777.83 and 17,576.92

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Solution

The fourth proportional to 31,723.84, 43,777.83 and 17,576.92 is: 24,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,723.84 : 43,777.83 = 17,576.92 : x
  2. Step 2: Convert to fraction form
    31,723.84/43,777.83 = 17,576.92/x
  3. Step 3: Cross multiply
    31,723.84x = 43,777.83 × 17,576.92
  4. Step 4: Simplify right side
    31,723.84x = 769,479,415.68
  5. Step 5: Solve for x
    x = 769,479,415.68/31,723.84
  6. Step 6: Final answer
    x = 24,255.56

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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.