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Finding the Fourth Proportional to 38,413.50, 57,629.97 and 10,711.50

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Solution

The fourth proportional to 38,413.50, 57,629.97 and 10,711.50 is: 16,069.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413.50 : 57,629.97 = 10,711.50 : x
  2. Step 2: Convert to fraction form
    38,413.50/57,629.97 = 10,711.50/x
  3. Step 3: Cross multiply
    38,413.50x = 57,629.97 × 10,711.50
  4. Step 4: Simplify right side
    38,413.50x = 617,303,423.66
  5. Step 5: Solve for x
    x = 617,303,423.66/38,413.50
  6. Step 6: Final answer
    x = 16,069.96

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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.