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Finding the Fourth Proportional to 81,659.98, 122,478.81 and 22,487.14

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Solution

The fourth proportional to 81,659.98, 122,478.81 and 22,487.14 is: 33,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,659.98 : 122,478.81 = 22,487.14 : x
  2. Step 2: Convert to fraction form
    81,659.98/122,478.81 = 22,487.14/x
  3. Step 3: Cross multiply
    81,659.98x = 122,478.81 × 22,487.14
  4. Step 4: Simplify right side
    81,659.98x = 2,754,198,147.50
  5. Step 5: Solve for x
    x = 2,754,198,147.50/81,659.98
  6. Step 6: Final answer
    x = 33,727.64

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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.