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Finding the Fourth Proportional to 61,413.85, 92,087.97 and 21,949.44

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Solution

The fourth proportional to 61,413.85, 92,087.97 and 21,949.44 is: 32,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,413.85 : 92,087.97 = 21,949.44 : x
  2. Step 2: Convert to fraction form
    61,413.85/92,087.97 = 21,949.44/x
  3. Step 3: Cross multiply
    61,413.85x = 92,087.97 × 21,949.44
  4. Step 4: Simplify right side
    61,413.85x = 2,021,279,372.24
  5. Step 5: Solve for x
    x = 2,021,279,372.24/61,413.85
  6. Step 6: Final answer
    x = 32,912.44

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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.