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Finding the Fourth Proportional to 73,876.64, 110,753.28 and 34,413.44

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Solution

The fourth proportional to 73,876.64, 110,753.28 and 34,413.44 is: 51,591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,876.64 : 110,753.28 = 34,413.44 : x
  2. Step 2: Convert to fraction form
    73,876.64/110,753.28 = 34,413.44/x
  3. Step 3: Cross multiply
    73,876.64x = 110,753.28 × 34,413.44
  4. Step 4: Simplify right side
    73,876.64x = 3,811,401,356.08
  5. Step 5: Solve for x
    x = 3,811,401,356.08/73,876.64
  6. Step 6: Final answer
    x = 51,591.43

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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.