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Finding the Fourth Proportional to 47,633.76, 71,447.76 and 21,331.44

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Solution

The fourth proportional to 47,633.76, 71,447.76 and 21,331.44 is: 31,995.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,633.76 : 71,447.76 = 21,331.44 : x
  2. Step 2: Convert to fraction form
    47,633.76/71,447.76 = 21,331.44/x
  3. Step 3: Cross multiply
    47,633.76x = 71,447.76 × 21,331.44
  4. Step 4: Simplify right side
    47,633.76x = 1,524,083,605.57
  5. Step 5: Solve for x
    x = 1,524,083,605.57/47,633.76
  6. Step 6: Final answer
    x = 31,995.87

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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.