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Finding the Fourth Proportional to 33,008.76, 49,512.36 and 8,049

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Solution

The fourth proportional to 33,008.76, 49,512.36 and 8,049 is: 12,073.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,008.76 : 49,512.36 = 8,049 : x
  2. Step 2: Convert to fraction form
    33,008.76/49,512.36 = 8,049/x
  3. Step 3: Cross multiply
    33,008.76x = 49,512.36 × 8,049
  4. Step 4: Simplify right side
    33,008.76x = 398,524,985.64
  5. Step 5: Solve for x
    x = 398,524,985.64/33,008.76
  6. Step 6: Final answer
    x = 12,073.31

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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.