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Finding the Fourth Proportional to 27,413.02, 41,121 and 8,694.48

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Solution

The fourth proportional to 27,413.02, 41,121 and 8,694.48 is: 13,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413.02 : 41,121 = 8,694.48 : x
  2. Step 2: Convert to fraction form
    27,413.02/41,121 = 8,694.48/x
  3. Step 3: Cross multiply
    27,413.02x = 41,121 × 8,694.48
  4. Step 4: Simplify right side
    27,413.02x = 357,525,712.08
  5. Step 5: Solve for x
    x = 357,525,712.08/27,413.02
  6. Step 6: Final answer
    x = 13,042.19

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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.