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Finding the Fourth Proportional to 81,843.19, 122,764.44 and 22,678.69

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Solution

The fourth proportional to 81,843.19, 122,764.44 and 22,678.69 is: 34,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,843.19 : 122,764.44 = 22,678.69 : x
  2. Step 2: Convert to fraction form
    81,843.19/122,764.44 = 22,678.69/x
  3. Step 3: Cross multiply
    81,843.19x = 122,764.44 × 22,678.69
  4. Step 4: Simplify right side
    81,843.19x = 2,784,135,950.57
  5. Step 5: Solve for x
    x = 2,784,135,950.57/81,843.19
  6. Step 6: Final answer
    x = 34,017.93

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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.