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Finding the Fourth Proportional to 41,603.70, 57,413.06 and 22,740.78

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Solution

The fourth proportional to 41,603.70, 57,413.06 and 22,740.78 is: 31,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,603.70 : 57,413.06 = 22,740.78 : x
  2. Step 2: Convert to fraction form
    41,603.70/57,413.06 = 22,740.78/x
  3. Step 3: Cross multiply
    41,603.70x = 57,413.06 × 22,740.78
  4. Step 4: Simplify right side
    41,603.70x = 1,305,617,766.59
  5. Step 5: Solve for x
    x = 1,305,617,766.59/41,603.70
  6. Step 6: Final answer
    x = 31,382.25

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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.