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Finding the Fourth Proportional to 85,198.20, 117,574 and 49,409.44

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Solution

The fourth proportional to 85,198.20, 117,574 and 49,409.44 is: 68,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,198.20 : 117,574 = 49,409.44 : x
  2. Step 2: Convert to fraction form
    85,198.20/117,574 = 49,409.44/x
  3. Step 3: Cross multiply
    85,198.20x = 117,574 × 49,409.44
  4. Step 4: Simplify right side
    85,198.20x = 5,809,265,498.56
  5. Step 5: Solve for x
    x = 5,809,265,498.56/85,198.20
  6. Step 6: Final answer
    x = 68,185.31

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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.