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Finding the Fourth Proportional to 50,413.91, 69,568.81 and 27,752.44

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Solution

The fourth proportional to 50,413.91, 69,568.81 and 27,752.44 is: 38,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,413.91 : 69,568.81 = 27,752.44 : x
  2. Step 2: Convert to fraction form
    50,413.91/69,568.81 = 27,752.44/x
  3. Step 3: Cross multiply
    50,413.91x = 69,568.81 × 27,752.44
  4. Step 4: Simplify right side
    50,413.91x = 1,930,704,225.40
  5. Step 5: Solve for x
    x = 1,930,704,225.40/50,413.91
  6. Step 6: Final answer
    x = 38,297.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.