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Finding the Fourth Proportional to 31,780, 43,856.37 and 17,439.91

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Solution

The fourth proportional to 31,780, 43,856.37 and 17,439.91 is: 24,067.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,780 : 43,856.37 = 17,439.91 : x
  2. Step 2: Convert to fraction form
    31,780/43,856.37 = 17,439.91/x
  3. Step 3: Cross multiply
    31,780x = 43,856.37 × 17,439.91
  4. Step 4: Simplify right side
    31,780x = 764,851,145.73
  5. Step 5: Solve for x
    x = 764,851,145.73/31,780
  6. Step 6: Final answer
    x = 24,067.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.