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Finding the Fourth Proportional to 31,477.20, 47,205.78 and 10,413.30

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Solution

The fourth proportional to 31,477.20, 47,205.78 and 10,413.30 is: 15,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477.20 : 47,205.78 = 10,413.30 : x
  2. Step 2: Convert to fraction form
    31,477.20/47,205.78 = 10,413.30/x
  3. Step 3: Cross multiply
    31,477.20x = 47,205.78 × 10,413.30
  4. Step 4: Simplify right side
    31,477.20x = 491,567,948.87
  5. Step 5: Solve for x
    x = 491,567,948.87/31,477.20
  6. Step 6: Final answer
    x = 15,616.64

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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.