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Finding the Fourth Proportional to 81,909.21, 122,863.87 and 22,744.89

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Solution

The fourth proportional to 81,909.21, 122,863.87 and 22,744.89 is: 34,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,909.21 : 122,863.87 = 22,744.89 : x
  2. Step 2: Convert to fraction form
    81,909.21/122,863.87 = 22,744.89/x
  3. Step 3: Cross multiply
    81,909.21x = 122,863.87 × 22,744.89
  4. Step 4: Simplify right side
    81,909.21x = 2,794,525,236.56
  5. Step 5: Solve for x
    x = 2,794,525,236.56/81,909.21
  6. Step 6: Final answer
    x = 34,117.35

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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.