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Finding the Fourth Proportional to 30,082.42, 41,514.41 and 16,471.75

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Solution

The fourth proportional to 30,082.42, 41,514.41 and 16,471.75 is: 22,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082.42 : 41,514.41 = 16,471.75 : x
  2. Step 2: Convert to fraction form
    30,082.42/41,514.41 = 16,471.75/x
  3. Step 3: Cross multiply
    30,082.42x = 41,514.41 × 16,471.75
  4. Step 4: Simplify right side
    30,082.42x = 683,814,900.56
  5. Step 5: Solve for x
    x = 683,814,900.56/30,082.42
  6. Step 6: Final answer
    x = 22,731.38

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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.