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Finding the Fourth Proportional to 31,108.54, 42,933.50 and 19,640.12

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Solution

The fourth proportional to 31,108.54, 42,933.50 and 19,640.12 is: 27,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108.54 : 42,933.50 = 19,640.12 : x
  2. Step 2: Convert to fraction form
    31,108.54/42,933.50 = 19,640.12/x
  3. Step 3: Cross multiply
    31,108.54x = 42,933.50 × 19,640.12
  4. Step 4: Simplify right side
    31,108.54x = 843,219,092.02
  5. Step 5: Solve for x
    x = 843,219,092.02/31,108.54
  6. Step 6: Final answer
    x = 27,105.71

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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.