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Finding the Fourth Proportional to 34,413.87, 47,485.38 and 20,269.51

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Solution

The fourth proportional to 34,413.87, 47,485.38 and 20,269.51 is: 27,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,413.87 : 47,485.38 = 20,269.51 : x
  2. Step 2: Convert to fraction form
    34,413.87/47,485.38 = 20,269.51/x
  3. Step 3: Cross multiply
    34,413.87x = 47,485.38 × 20,269.51
  4. Step 4: Simplify right side
    34,413.87x = 962,505,384.76
  5. Step 5: Solve for x
    x = 962,505,384.76/34,413.87
  6. Step 6: Final answer
    x = 27,968.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.