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Finding the Fourth Proportional to 35,997.56, 49,676.49 and 20,082

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Solution

The fourth proportional to 35,997.56, 49,676.49 and 20,082 is: 27,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,997.56 : 49,676.49 = 20,082 : x
  2. Step 2: Convert to fraction form
    35,997.56/49,676.49 = 20,082/x
  3. Step 3: Cross multiply
    35,997.56x = 49,676.49 × 20,082
  4. Step 4: Simplify right side
    35,997.56x = 997,603,272.18
  5. Step 5: Solve for x
    x = 997,603,272.18/35,997.56
  6. Step 6: Final answer
    x = 27,713.08

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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.