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Finding the Fourth Proportional to 81,481.01, 122,224.07 and 25,321.41

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Solution

The fourth proportional to 81,481.01, 122,224.07 and 25,321.41 is: 37,982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,481.01 : 122,224.07 = 25,321.41 : x
  2. Step 2: Convert to fraction form
    81,481.01/122,224.07 = 25,321.41/x
  3. Step 3: Cross multiply
    81,481.01x = 122,224.07 × 25,321.41
  4. Step 4: Simplify right side
    81,481.01x = 3,094,885,851.64
  5. Step 5: Solve for x
    x = 3,094,885,851.64/81,481.01
  6. Step 6: Final answer
    x = 37,982.91

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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.