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Finding the Fourth Proportional to 31,735.99, 47,659.47 and 29,267.11

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Solution

The fourth proportional to 31,735.99, 47,659.47 and 29,267.11 is: 43,951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,735.99 : 47,659.47 = 29,267.11 : x
  2. Step 2: Convert to fraction form
    31,735.99/47,659.47 = 29,267.11/x
  3. Step 3: Cross multiply
    31,735.99x = 47,659.47 × 29,267.11
  4. Step 4: Simplify right side
    31,735.99x = 1,394,854,951.03
  5. Step 5: Solve for x
    x = 1,394,854,951.03/31,735.99
  6. Step 6: Final answer
    x = 43,951.83

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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.