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Finding the Fourth Proportional to 31,843.60, 47,777.70 and 9,657.16

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Solution

The fourth proportional to 31,843.60, 47,777.70 and 9,657.16 is: 14,489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.60 : 47,777.70 = 9,657.16 : x
  2. Step 2: Convert to fraction form
    31,843.60/47,777.70 = 9,657.16/x
  3. Step 3: Cross multiply
    31,843.60x = 47,777.70 × 9,657.16
  4. Step 4: Simplify right side
    31,843.60x = 461,396,893.33
  5. Step 5: Solve for x
    x = 461,396,893.33/31,843.60
  6. Step 6: Final answer
    x = 14,489.47

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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.