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Finding the Fourth Proportional to 22,052.02, 33,082 and 8,031.73

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Solution

The fourth proportional to 22,052.02, 33,082 and 8,031.73 is: 12,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,052.02 : 33,082 = 8,031.73 : x
  2. Step 2: Convert to fraction form
    22,052.02/33,082 = 8,031.73/x
  3. Step 3: Cross multiply
    22,052.02x = 33,082 × 8,031.73
  4. Step 4: Simplify right side
    22,052.02x = 265,705,691.86
  5. Step 5: Solve for x
    x = 265,705,691.86/22,052.02
  6. Step 6: Final answer
    x = 12,049.04

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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.