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Finding the Fourth Proportional to 31,481.79, 47,221.17 and 7,789.24

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Solution

The fourth proportional to 31,481.79, 47,221.17 and 7,789.24 is: 11,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,481.79 : 47,221.17 = 7,789.24 : x
  2. Step 2: Convert to fraction form
    31,481.79/47,221.17 = 7,789.24/x
  3. Step 3: Cross multiply
    31,481.79x = 47,221.17 × 7,789.24
  4. Step 4: Simplify right side
    31,481.79x = 367,817,026.21
  5. Step 5: Solve for x
    x = 367,817,026.21/31,481.79
  6. Step 6: Final answer
    x = 11,683.49

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Why These Related Problems?

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