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Finding the Fourth Proportional to 37,016.36, 51,082.98 and 20,249

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Solution

The fourth proportional to 37,016.36, 51,082.98 and 20,249 is: 27,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,016.36 : 51,082.98 = 20,249 : x
  2. Step 2: Convert to fraction form
    37,016.36/51,082.98 = 20,249/x
  3. Step 3: Cross multiply
    37,016.36x = 51,082.98 × 20,249
  4. Step 4: Simplify right side
    37,016.36x = 1,034,379,262.02
  5. Step 5: Solve for x
    x = 1,034,379,262.02/37,016.36
  6. Step 6: Final answer
    x = 27,943.84

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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.