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Finding the Fourth Proportional to 31,413.38, 47,119.95 and 8,039.78

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Solution

The fourth proportional to 31,413.38, 47,119.95 and 8,039.78 is: 12,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,413.38 : 47,119.95 = 8,039.78 : x
  2. Step 2: Convert to fraction form
    31,413.38/47,119.95 = 8,039.78/x
  3. Step 3: Cross multiply
    31,413.38x = 47,119.95 × 8,039.78
  4. Step 4: Simplify right side
    31,413.38x = 378,834,031.61
  5. Step 5: Solve for x
    x = 378,834,031.61/31,413.38
  6. Step 6: Final answer
    x = 12,059.64

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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.