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Finding the Fourth Proportional to 31,474.49, 47,219.07 and 10,413.68

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Solution

The fourth proportional to 31,474.49, 47,219.07 and 10,413.68 is: 15,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,474.49 : 47,219.07 = 10,413.68 : x
  2. Step 2: Convert to fraction form
    31,474.49/47,219.07 = 10,413.68/x
  3. Step 3: Cross multiply
    31,474.49x = 47,219.07 × 10,413.68
  4. Step 4: Simplify right side
    31,474.49x = 491,724,284.88
  5. Step 5: Solve for x
    x = 491,724,284.88/31,474.49
  6. Step 6: Final answer
    x = 15,622.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.