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Finding the Fourth Proportional to 39,413.92, 59,069.54 and 16,013

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Solution

The fourth proportional to 39,413.92, 59,069.54 and 16,013 is: 23,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,413.92 : 59,069.54 = 16,013 : x
  2. Step 2: Convert to fraction form
    39,413.92/59,069.54 = 16,013/x
  3. Step 3: Cross multiply
    39,413.92x = 59,069.54 × 16,013
  4. Step 4: Simplify right side
    39,413.92x = 945,880,544.02
  5. Step 5: Solve for x
    x = 945,880,544.02/39,413.92
  6. Step 6: Final answer
    x = 23,998.64

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Why These Related Problems?

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