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Finding the Fourth Proportional to 41,603.42, 57,413.15 and 22,740.54

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Solution

The fourth proportional to 41,603.42, 57,413.15 and 22,740.54 is: 31,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,603.42 : 57,413.15 = 22,740.54 : x
  2. Step 2: Convert to fraction form
    41,603.42/57,413.15 = 22,740.54/x
  3. Step 3: Cross multiply
    41,603.42x = 57,413.15 × 22,740.54
  4. Step 4: Simplify right side
    41,603.42x = 1,305,605,920.40
  5. Step 5: Solve for x
    x = 1,305,605,920.40/41,603.42
  6. Step 6: Final answer
    x = 31,382.18

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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.