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Finding the Fourth Proportional to 31,728.78, 43,765.87 and 20,413.01

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Solution

The fourth proportional to 31,728.78, 43,765.87 and 20,413.01 is: 28,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728.78 : 43,765.87 = 20,413.01 : x
  2. Step 2: Convert to fraction form
    31,728.78/43,765.87 = 20,413.01/x
  3. Step 3: Cross multiply
    31,728.78x = 43,765.87 × 20,413.01
  4. Step 4: Simplify right side
    31,728.78x = 893,393,141.97
  5. Step 5: Solve for x
    x = 893,393,141.97/31,728.78
  6. Step 6: Final answer
    x = 28,157.19

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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.