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Finding the Fourth Proportional to 31,105.36, 46,660.38 and 8,918.56

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Solution

The fourth proportional to 31,105.36, 46,660.38 and 8,918.56 is: 13,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,105.36 : 46,660.38 = 8,918.56 : x
  2. Step 2: Convert to fraction form
    31,105.36/46,660.38 = 8,918.56/x
  3. Step 3: Cross multiply
    31,105.36x = 46,660.38 × 8,918.56
  4. Step 4: Simplify right side
    31,105.36x = 416,143,398.65
  5. Step 5: Solve for x
    x = 416,143,398.65/31,105.36
  6. Step 6: Final answer
    x = 13,378.51

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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.