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Finding the Fourth Proportional to 31,826.50, 47,723.34 and 21,846.49

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Solution

The fourth proportional to 31,826.50, 47,723.34 and 21,846.49 is: 32,758.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,826.50 : 47,723.34 = 21,846.49 : x
  2. Step 2: Convert to fraction form
    31,826.50/47,723.34 = 21,846.49/x
  3. Step 3: Cross multiply
    31,826.50x = 47,723.34 × 21,846.49
  4. Step 4: Simplify right side
    31,826.50x = 1,042,587,470.08
  5. Step 5: Solve for x
    x = 1,042,587,470.08/31,826.50
  6. Step 6: Final answer
    x = 32,758.47

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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.