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Finding the Fourth Proportional to 34,481.70, 47,581.22 and 19,371.96

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Solution

The fourth proportional to 34,481.70, 47,581.22 and 19,371.96 is: 26,731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,481.70 : 47,581.22 = 19,371.96 : x
  2. Step 2: Convert to fraction form
    34,481.70/47,581.22 = 19,371.96/x
  3. Step 3: Cross multiply
    34,481.70x = 47,581.22 × 19,371.96
  4. Step 4: Simplify right side
    34,481.70x = 921,741,539.02
  5. Step 5: Solve for x
    x = 921,741,539.02/34,481.70
  6. Step 6: Final answer
    x = 26,731.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.