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Finding the Fourth Proportional to 38,704.98, 53,413.44 and 21,712.98

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Solution

The fourth proportional to 38,704.98, 53,413.44 and 21,712.98 is: 29,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,704.98 : 53,413.44 = 21,712.98 : x
  2. Step 2: Convert to fraction form
    38,704.98/53,413.44 = 21,712.98/x
  3. Step 3: Cross multiply
    38,704.98x = 53,413.44 × 21,712.98
  4. Step 4: Simplify right side
    38,704.98x = 1,159,764,954.45
  5. Step 5: Solve for x
    x = 1,159,764,954.45/38,704.98
  6. Step 6: Final answer
    x = 29,964.23

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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.