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Finding the Fourth Proportional to 40,098, 55,334.44 and 22,193

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Solution

The fourth proportional to 40,098, 55,334.44 and 22,193 is: 30,625.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,098 : 55,334.44 = 22,193 : x
  2. Step 2: Convert to fraction form
    40,098/55,334.44 = 22,193/x
  3. Step 3: Cross multiply
    40,098x = 55,334.44 × 22,193
  4. Step 4: Simplify right side
    40,098x = 1,228,037,226.92
  5. Step 5: Solve for x
    x = 1,228,037,226.92/40,098
  6. Step 6: Final answer
    x = 30,625.90

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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.