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Finding the Fourth Proportional to 31,481.04, 46,991.24 and 27,744.46

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Solution

The fourth proportional to 31,481.04, 46,991.24 and 27,744.46 is: 41,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,481.04 : 46,991.24 = 27,744.46 : x
  2. Step 2: Convert to fraction form
    31,481.04/46,991.24 = 27,744.46/x
  3. Step 3: Cross multiply
    31,481.04x = 46,991.24 × 27,744.46
  4. Step 4: Simplify right side
    31,481.04x = 1,303,746,578.53
  5. Step 5: Solve for x
    x = 1,303,746,578.53/31,481.04
  6. Step 6: Final answer
    x = 41,413.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.