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Finding the Fourth Proportional to 31,867.98, 47,808.04 and 15,229.32

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Solution

The fourth proportional to 31,867.98, 47,808.04 and 15,229.32 is: 22,846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,867.98 : 47,808.04 = 15,229.32 : x
  2. Step 2: Convert to fraction form
    31,867.98/47,808.04 = 15,229.32/x
  3. Step 3: Cross multiply
    31,867.98x = 47,808.04 × 15,229.32
  4. Step 4: Simplify right side
    31,867.98x = 728,083,939.73
  5. Step 5: Solve for x
    x = 728,083,939.73/31,867.98
  6. Step 6: Final answer
    x = 22,846.88

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Why These Related Problems?

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