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Finding the Fourth Proportional to 81,410.80, 122,137.80 and 28,814.80

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Solution

The fourth proportional to 81,410.80, 122,137.80 and 28,814.80 is: 43,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,410.80 : 122,137.80 = 28,814.80 : x
  2. Step 2: Convert to fraction form
    81,410.80/122,137.80 = 28,814.80/x
  3. Step 3: Cross multiply
    81,410.80x = 122,137.80 × 28,814.80
  4. Step 4: Simplify right side
    81,410.80x = 3,519,376,279.44
  5. Step 5: Solve for x
    x = 3,519,376,279.44/81,410.80
  6. Step 6: Final answer
    x = 43,229.85

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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.