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Finding the Fourth Proportional to 81,927.40, 122,891.14 and 22,763.10

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Solution

The fourth proportional to 81,927.40, 122,891.14 and 22,763.10 is: 34,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,927.40 : 122,891.14 = 22,763.10 : x
  2. Step 2: Convert to fraction form
    81,927.40/122,891.14 = 22,763.10/x
  3. Step 3: Cross multiply
    81,927.40x = 122,891.14 × 22,763.10
  4. Step 4: Simplify right side
    81,927.40x = 2,797,383,308.93
  5. Step 5: Solve for x
    x = 2,797,383,308.93/81,927.40
  6. Step 6: Final answer
    x = 34,144.66

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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.