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Finding the Fourth Proportional to 35,999.25, 49,678.83 and 20,082.75

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Solution

The fourth proportional to 35,999.25, 49,678.83 and 20,082.75 is: 27,714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,999.25 : 49,678.83 = 20,082.75 : x
  2. Step 2: Convert to fraction form
    35,999.25/49,678.83 = 20,082.75/x
  3. Step 3: Cross multiply
    35,999.25x = 49,678.83 × 20,082.75
  4. Step 4: Simplify right side
    35,999.25x = 997,687,523.18
  5. Step 5: Solve for x
    x = 997,687,523.18/35,999.25
  6. Step 6: Final answer
    x = 27,714.12

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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.