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Finding the Fourth Proportional to 33,744.16, 50,616.17 and 13,762

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Solution

The fourth proportional to 33,744.16, 50,616.17 and 13,762 is: 20,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,744.16 : 50,616.17 = 13,762 : x
  2. Step 2: Convert to fraction form
    33,744.16/50,616.17 = 13,762/x
  3. Step 3: Cross multiply
    33,744.16x = 50,616.17 × 13,762
  4. Step 4: Simplify right side
    33,744.16x = 696,579,731.54
  5. Step 5: Solve for x
    x = 696,579,731.54/33,744.16
  6. Step 6: Final answer
    x = 20,642.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.