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Finding the Fourth Proportional to 35,998.80, 49,679.85 and 20,083.24

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Solution

The fourth proportional to 35,998.80, 49,679.85 and 20,083.24 is: 27,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,998.80 : 49,679.85 = 20,083.24 : x
  2. Step 2: Convert to fraction form
    35,998.80/49,679.85 = 20,083.24/x
  3. Step 3: Cross multiply
    35,998.80x = 49,679.85 × 20,083.24
  4. Step 4: Simplify right side
    35,998.80x = 997,732,350.71
  5. Step 5: Solve for x
    x = 997,732,350.71/35,998.80
  6. Step 6: Final answer
    x = 27,715.71

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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.