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Finding the Fourth Proportional to 38,082.48, 52,548.84 and 22,169.76

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Solution

The fourth proportional to 38,082.48, 52,548.84 and 22,169.76 is: 30,591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,082.48 : 52,548.84 = 22,169.76 : x
  2. Step 2: Convert to fraction form
    38,082.48/52,548.84 = 22,169.76/x
  3. Step 3: Cross multiply
    38,082.48x = 52,548.84 × 22,169.76
  4. Step 4: Simplify right side
    38,082.48x = 1,164,995,171.08
  5. Step 5: Solve for x
    x = 1,164,995,171.08/38,082.48
  6. Step 6: Final answer
    x = 30,591.37

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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.