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Finding the Fourth Proportional to 37,739.97, 52,082.13 and 21,825.42

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Solution

The fourth proportional to 37,739.97, 52,082.13 and 21,825.42 is: 30,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,739.97 : 52,082.13 = 21,825.42 : x
  2. Step 2: Convert to fraction form
    37,739.97/52,082.13 = 21,825.42/x
  3. Step 3: Cross multiply
    37,739.97x = 52,082.13 × 21,825.42
  4. Step 4: Simplify right side
    37,739.97x = 1,136,714,361.74
  5. Step 5: Solve for x
    x = 1,136,714,361.74/37,739.97
  6. Step 6: Final answer
    x = 30,119.64

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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.