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Finding the Fourth Proportional to 77,727, 107,263.26 and 44,193

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Solution

The fourth proportional to 77,727, 107,263.26 and 44,193 is: 60,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,727 : 107,263.26 = 44,193 : x
  2. Step 2: Convert to fraction form
    77,727/107,263.26 = 44,193/x
  3. Step 3: Cross multiply
    77,727x = 107,263.26 × 44,193
  4. Step 4: Simplify right side
    77,727x = 4,740,285,249.18
  5. Step 5: Solve for x
    x = 4,740,285,249.18/77,727
  6. Step 6: Final answer
    x = 60,986.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.