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Finding the Fourth Proportional to 41,413.60, 57,111.20 and 27,832.32

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Solution

The fourth proportional to 41,413.60, 57,111.20 and 27,832.32 is: 38,382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,413.60 : 57,111.20 = 27,832.32 : x
  2. Step 2: Convert to fraction form
    41,413.60/57,111.20 = 27,832.32/x
  3. Step 3: Cross multiply
    41,413.60x = 57,111.20 × 27,832.32
  4. Step 4: Simplify right side
    41,413.60x = 1,589,537,193.98
  5. Step 5: Solve for x
    x = 1,589,537,193.98/41,413.60
  6. Step 6: Final answer
    x = 38,382.01

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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.