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Finding the Fourth Proportional to 35,996.38, 49,675.96 and 20,083.92

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Solution

The fourth proportional to 35,996.38, 49,675.96 and 20,083.92 is: 27,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,996.38 : 49,675.96 = 20,083.92 : x
  2. Step 2: Convert to fraction form
    35,996.38/49,675.96 = 20,083.92/x
  3. Step 3: Cross multiply
    35,996.38x = 49,675.96 × 20,083.92
  4. Step 4: Simplify right side
    35,996.38x = 997,688,006.56
  5. Step 5: Solve for x
    x = 997,688,006.56/35,996.38
  6. Step 6: Final answer
    x = 27,716.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.