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Finding the Fourth Proportional to 27,785.54, 38,361.94 and 24,796.24

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Solution

The fourth proportional to 27,785.54, 38,361.94 and 24,796.24 is: 34,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.54 : 38,361.94 = 24,796.24 : x
  2. Step 2: Convert to fraction form
    27,785.54/38,361.94 = 24,796.24/x
  3. Step 3: Cross multiply
    27,785.54x = 38,361.94 × 24,796.24
  4. Step 4: Simplify right side
    27,785.54x = 951,231,871.11
  5. Step 5: Solve for x
    x = 951,231,871.11/27,785.54
  6. Step 6: Final answer
    x = 34,234.78

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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.