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Finding the Fourth Proportional to 31,728.64, 47,564.82 and 11,993.44

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Solution

The fourth proportional to 31,728.64, 47,564.82 and 11,993.44 is: 17,979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728.64 : 47,564.82 = 11,993.44 : x
  2. Step 2: Convert to fraction form
    31,728.64/47,564.82 = 11,993.44/x
  3. Step 3: Cross multiply
    31,728.64x = 47,564.82 × 11,993.44
  4. Step 4: Simplify right side
    31,728.64x = 570,465,814.78
  5. Step 5: Solve for x
    x = 570,465,814.78/31,728.64
  6. Step 6: Final answer
    x = 17,979.52

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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.