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Finding the Fourth Proportional to 31,604.54, 47,413.83 and 10,827.50

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Solution

The fourth proportional to 31,604.54, 47,413.83 and 10,827.50 is: 16,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.54 : 47,413.83 = 10,827.50 : x
  2. Step 2: Convert to fraction form
    31,604.54/47,413.83 = 10,827.50/x
  3. Step 3: Cross multiply
    31,604.54x = 47,413.83 × 10,827.50
  4. Step 4: Simplify right side
    31,604.54x = 513,373,244.33
  5. Step 5: Solve for x
    x = 513,373,244.33/31,604.54
  6. Step 6: Final answer
    x = 16,243.66

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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.