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Finding the Fourth Proportional to 81,874.33, 122,797.77 and 22,715.98

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Solution

The fourth proportional to 81,874.33, 122,797.77 and 22,715.98 is: 34,070.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874.33 : 122,797.77 = 22,715.98 : x
  2. Step 2: Convert to fraction form
    81,874.33/122,797.77 = 22,715.98/x
  3. Step 3: Cross multiply
    81,874.33x = 122,797.77 × 22,715.98
  4. Step 4: Simplify right side
    81,874.33x = 2,789,471,687.36
  5. Step 5: Solve for x
    x = 2,789,471,687.36/81,874.33
  6. Step 6: Final answer
    x = 34,070.16

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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.