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Finding the Fourth Proportional to 30,082.12, 41,520 and 17,514.16

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Solution

The fourth proportional to 30,082.12, 41,520 and 17,514.16 is: 24,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082.12 : 41,520 = 17,514.16 : x
  2. Step 2: Convert to fraction form
    30,082.12/41,520 = 17,514.16/x
  3. Step 3: Cross multiply
    30,082.12x = 41,520 × 17,514.16
  4. Step 4: Simplify right side
    30,082.12x = 727,187,923.20
  5. Step 5: Solve for x
    x = 727,187,923.20/30,082.12
  6. Step 6: Final answer
    x = 24,173.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.