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Finding the Fourth Proportional to 27,608.49, 41,413.41 and 10,078.34

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Solution

The fourth proportional to 27,608.49, 41,413.41 and 10,078.34 is: 15,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,608.49 : 41,413.41 = 10,078.34 : x
  2. Step 2: Convert to fraction form
    27,608.49/41,413.41 = 10,078.34/x
  3. Step 3: Cross multiply
    27,608.49x = 41,413.41 × 10,078.34
  4. Step 4: Simplify right side
    27,608.49x = 417,378,219.47
  5. Step 5: Solve for x
    x = 417,378,219.47/27,608.49
  6. Step 6: Final answer
    x = 15,117.75

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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.