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Finding the Fourth Proportional to 33,103.83, 45,682.74 and 17,996.87

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Solution

The fourth proportional to 33,103.83, 45,682.74 and 17,996.87 is: 24,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,103.83 : 45,682.74 = 17,996.87 : x
  2. Step 2: Convert to fraction form
    33,103.83/45,682.74 = 17,996.87/x
  3. Step 3: Cross multiply
    33,103.83x = 45,682.74 × 17,996.87
  4. Step 4: Simplify right side
    33,103.83x = 822,146,104.61
  5. Step 5: Solve for x
    x = 822,146,104.61/33,103.83
  6. Step 6: Final answer
    x = 24,835.38

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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.