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Finding the Fourth Proportional to 30,413.11, 41,989.84 and 27,220.88

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Solution

The fourth proportional to 30,413.11, 41,989.84 and 27,220.88 is: 37,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.11 : 41,989.84 = 27,220.88 : x
  2. Step 2: Convert to fraction form
    30,413.11/41,989.84 = 27,220.88/x
  3. Step 3: Cross multiply
    30,413.11x = 41,989.84 × 27,220.88
  4. Step 4: Simplify right side
    30,413.11x = 1,143,000,395.86
  5. Step 5: Solve for x
    x = 1,143,000,395.86/30,413.11
  6. Step 6: Final answer
    x = 37,582.49

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