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Finding the Fourth Proportional to 32,413.78, 44,439.31 and 31,823.32

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Solution

The fourth proportional to 32,413.78, 44,439.31 and 31,823.32 is: 43,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.78 : 44,439.31 = 31,823.32 : x
  2. Step 2: Convert to fraction form
    32,413.78/44,439.31 = 31,823.32/x
  3. Step 3: Cross multiply
    32,413.78x = 44,439.31 × 31,823.32
  4. Step 4: Simplify right side
    32,413.78x = 1,414,206,223.59
  5. Step 5: Solve for x
    x = 1,414,206,223.59/32,413.78
  6. Step 6: Final answer
    x = 43,629.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.