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Finding the Fourth Proportional to 73,057.28, 100,822.05 and 41,226.03

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Solution

The fourth proportional to 73,057.28, 100,822.05 and 41,226.03 is: 56,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,057.28 : 100,822.05 = 41,226.03 : x
  2. Step 2: Convert to fraction form
    73,057.28/100,822.05 = 41,226.03/x
  3. Step 3: Cross multiply
    73,057.28x = 100,822.05 × 41,226.03
  4. Step 4: Simplify right side
    73,057.28x = 4,156,492,857.96
  5. Step 5: Solve for x
    x = 4,156,492,857.96/73,057.28
  6. Step 6: Final answer
    x = 56,893.62

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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.