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Finding the Fourth Proportional to 27,577.68, 41,054.61 and 27,413.66

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Solution

The fourth proportional to 27,577.68, 41,054.61 and 27,413.66 is: 40,810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,577.68 : 41,054.61 = 27,413.66 : x
  2. Step 2: Convert to fraction form
    27,577.68/41,054.61 = 27,413.66/x
  3. Step 3: Cross multiply
    27,577.68x = 41,054.61 × 27,413.66
  4. Step 4: Simplify right side
    27,577.68x = 1,125,457,119.97
  5. Step 5: Solve for x
    x = 1,125,457,119.97/27,577.68
  6. Step 6: Final answer
    x = 40,810.44

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