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Finding the Fourth Proportional to 31,046.62, 46,571.41 and 8,863.21

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Solution

The fourth proportional to 31,046.62, 46,571.41 and 8,863.21 is: 13,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.62 : 46,571.41 = 8,863.21 : x
  2. Step 2: Convert to fraction form
    31,046.62/46,571.41 = 8,863.21/x
  3. Step 3: Cross multiply
    31,046.62x = 46,571.41 × 8,863.21
  4. Step 4: Simplify right side
    31,046.62x = 412,772,186.83
  5. Step 5: Solve for x
    x = 412,772,186.83/31,046.62
  6. Step 6: Final answer
    x = 13,295.24

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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.