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Finding the Fourth Proportional to 80,410.22, 110,893.47 and 50,198.34

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Solution

The fourth proportional to 80,410.22, 110,893.47 and 50,198.34 is: 69,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,410.22 : 110,893.47 = 50,198.34 : x
  2. Step 2: Convert to fraction form
    80,410.22/110,893.47 = 50,198.34/x
  3. Step 3: Cross multiply
    80,410.22x = 110,893.47 × 50,198.34
  4. Step 4: Simplify right side
    80,410.22x = 5,566,668,110.84
  5. Step 5: Solve for x
    x = 5,566,668,110.84/80,410.22
  6. Step 6: Final answer
    x = 69,228.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.