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Finding the Fourth Proportional to 31,827.50, 47,724.84 and 21,847.49

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Solution

The fourth proportional to 31,827.50, 47,724.84 and 21,847.49 is: 32,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,827.50 : 47,724.84 = 21,847.49 : x
  2. Step 2: Convert to fraction form
    31,827.50/47,724.84 = 21,847.49/x
  3. Step 3: Cross multiply
    31,827.50x = 47,724.84 × 21,847.49
  4. Step 4: Simplify right side
    31,827.50x = 1,042,667,964.65
  5. Step 5: Solve for x
    x = 1,042,667,964.65/31,827.50
  6. Step 6: Final answer
    x = 32,759.97

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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.