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Finding the Fourth Proportional to 41,093.76, 56,709.78 and 22,231.28

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Solution

The fourth proportional to 41,093.76, 56,709.78 and 22,231.28 is: 30,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,093.76 : 56,709.78 = 22,231.28 : x
  2. Step 2: Convert to fraction form
    41,093.76/56,709.78 = 22,231.28/x
  3. Step 3: Cross multiply
    41,093.76x = 56,709.78 × 22,231.28
  4. Step 4: Simplify right side
    41,093.76x = 1,260,730,997.92
  5. Step 5: Solve for x
    x = 1,260,730,997.92/41,093.76
  6. Step 6: Final answer
    x = 30,679.38

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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.