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Finding the Fourth Proportional to 46,105.80, 68,984.22 and 27,395.88

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Solution

The fourth proportional to 46,105.80, 68,984.22 and 27,395.88 is: 40,990.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,105.80 : 68,984.22 = 27,395.88 : x
  2. Step 2: Convert to fraction form
    46,105.80/68,984.22 = 27,395.88/x
  3. Step 3: Cross multiply
    46,105.80x = 68,984.22 × 27,395.88
  4. Step 4: Simplify right side
    46,105.80x = 1,889,883,413.01
  5. Step 5: Solve for x
    x = 1,889,883,413.01/46,105.80
  6. Step 6: Final answer
    x = 40,990.14

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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.