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Finding the Fourth Proportional to 31,976.37, 47,965.48 and 9,789.26

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Solution

The fourth proportional to 31,976.37, 47,965.48 and 9,789.26 is: 14,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,976.37 : 47,965.48 = 9,789.26 : x
  2. Step 2: Convert to fraction form
    31,976.37/47,965.48 = 9,789.26/x
  3. Step 3: Cross multiply
    31,976.37x = 47,965.48 × 9,789.26
  4. Step 4: Simplify right side
    31,976.37x = 469,546,290.44
  5. Step 5: Solve for x
    x = 469,546,290.44/31,976.37
  6. Step 6: Final answer
    x = 14,684.16

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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.