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Finding the Fourth Proportional to 81,903.97, 122,858.39 and 22,744

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Solution

The fourth proportional to 81,903.97, 122,858.39 and 22,744 is: 34,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,903.97 : 122,858.39 = 22,744 : x
  2. Step 2: Convert to fraction form
    81,903.97/122,858.39 = 22,744/x
  3. Step 3: Cross multiply
    81,903.97x = 122,858.39 × 22,744
  4. Step 4: Simplify right side
    81,903.97x = 2,794,291,222.16
  5. Step 5: Solve for x
    x = 2,794,291,222.16/81,903.97
  6. Step 6: Final answer
    x = 34,116.68

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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.