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Finding the Fourth Proportional to 33,616.17, 50,423.04 and 10,242

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Solution

The fourth proportional to 33,616.17, 50,423.04 and 10,242 is: 15,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,616.17 : 50,423.04 = 10,242 : x
  2. Step 2: Convert to fraction form
    33,616.17/50,423.04 = 10,242/x
  3. Step 3: Cross multiply
    33,616.17x = 50,423.04 × 10,242
  4. Step 4: Simplify right side
    33,616.17x = 516,432,775.68
  5. Step 5: Solve for x
    x = 516,432,775.68/33,616.17
  6. Step 6: Final answer
    x = 15,362.63

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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.