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Finding the Fourth Proportional to 35,996.42, 49,675.20 and 20,082.08

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Solution

The fourth proportional to 35,996.42, 49,675.20 and 20,082.08 is: 27,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,996.42 : 49,675.20 = 20,082.08 : x
  2. Step 2: Convert to fraction form
    35,996.42/49,675.20 = 20,082.08/x
  3. Step 3: Cross multiply
    35,996.42x = 49,675.20 × 20,082.08
  4. Step 4: Simplify right side
    35,996.42x = 997,581,340.42
  5. Step 5: Solve for x
    x = 997,581,340.42/35,996.42
  6. Step 6: Final answer
    x = 27,713.35

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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.