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Finding the Fourth Proportional to 31,993.26, 47,996.91 and 9,808.31

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Solution

The fourth proportional to 31,993.26, 47,996.91 and 9,808.31 is: 14,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,993.26 : 47,996.91 = 9,808.31 : x
  2. Step 2: Convert to fraction form
    31,993.26/47,996.91 = 9,808.31/x
  3. Step 3: Cross multiply
    31,993.26x = 47,996.91 × 9,808.31
  4. Step 4: Simplify right side
    31,993.26x = 470,768,332.34
  5. Step 5: Solve for x
    x = 470,768,332.34/31,993.26
  6. Step 6: Final answer
    x = 14,714.61

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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.