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Finding the Fourth Proportional to 80,410.34, 110,893.65 and 50,198.47

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Solution

The fourth proportional to 80,410.34, 110,893.65 and 50,198.47 is: 69,228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,410.34 : 110,893.65 = 50,198.47 : x
  2. Step 2: Convert to fraction form
    80,410.34/110,893.65 = 50,198.47/x
  3. Step 3: Cross multiply
    80,410.34x = 110,893.65 × 50,198.47
  4. Step 4: Simplify right side
    80,410.34x = 5,566,691,562.72
  5. Step 5: Solve for x
    x = 5,566,691,562.72/80,410.34
  6. Step 6: Final answer
    x = 69,228.55

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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.