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Finding the Fourth Proportional to 31,198.32, 43,073.79 and 27,835.30

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Solution

The fourth proportional to 31,198.32, 43,073.79 and 27,835.30 is: 38,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198.32 : 43,073.79 = 27,835.30 : x
  2. Step 2: Convert to fraction form
    31,198.32/43,073.79 = 27,835.30/x
  3. Step 3: Cross multiply
    31,198.32x = 43,073.79 × 27,835.30
  4. Step 4: Simplify right side
    31,198.32x = 1,198,972,025.01
  5. Step 5: Solve for x
    x = 1,198,972,025.01/31,198.32
  6. Step 6: Final answer
    x = 38,430.66

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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.