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Finding the Fourth Proportional to 36,579.12, 50,478.92 and 19,812

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Solution

The fourth proportional to 36,579.12, 50,478.92 and 19,812 is: 27,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,579.12 : 50,478.92 = 19,812 : x
  2. Step 2: Convert to fraction form
    36,579.12/50,478.92 = 19,812/x
  3. Step 3: Cross multiply
    36,579.12x = 50,478.92 × 19,812
  4. Step 4: Simplify right side
    36,579.12x = 1,000,088,363.04
  5. Step 5: Solve for x
    x = 1,000,088,363.04/36,579.12
  6. Step 6: Final answer
    x = 27,340.42

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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.