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Finding the Fourth Proportional to 69,197.25, 103,786.47 and 27,048

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Solution

The fourth proportional to 69,197.25, 103,786.47 and 27,048 is: 40,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,197.25 : 103,786.47 = 27,048 : x
  2. Step 2: Convert to fraction form
    69,197.25/103,786.47 = 27,048/x
  3. Step 3: Cross multiply
    69,197.25x = 103,786.47 × 27,048
  4. Step 4: Simplify right side
    69,197.25x = 2,807,216,440.56
  5. Step 5: Solve for x
    x = 2,807,216,440.56/69,197.25
  6. Step 6: Final answer
    x = 40,568.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.