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Finding the Fourth Proportional to 32,413.28, 44,438.62 and 31,822.82

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Solution

The fourth proportional to 32,413.28, 44,438.62 and 31,822.82 is: 43,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.28 : 44,438.62 = 31,822.82 : x
  2. Step 2: Convert to fraction form
    32,413.28/44,438.62 = 31,822.82/x
  3. Step 3: Cross multiply
    32,413.28x = 44,438.62 × 31,822.82
  4. Step 4: Simplify right side
    32,413.28x = 1,414,162,205.31
  5. Step 5: Solve for x
    x = 1,414,162,205.31/32,413.28
  6. Step 6: Final answer
    x = 43,629.10

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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.