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Finding the Fourth Proportional to 27,785.30, 41,648.79 and 19,989.86

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Solution

The fourth proportional to 27,785.30, 41,648.79 and 19,989.86 is: 29,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.30 : 41,648.79 = 19,989.86 : x
  2. Step 2: Convert to fraction form
    27,785.30/41,648.79 = 19,989.86/x
  3. Step 3: Cross multiply
    27,785.30x = 41,648.79 × 19,989.86
  4. Step 4: Simplify right side
    27,785.30x = 832,553,481.27
  5. Step 5: Solve for x
    x = 832,553,481.27/27,785.30
  6. Step 6: Final answer
    x = 29,963.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.