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Finding the Fourth Proportional to 31,889.26, 44,007.60 and 17,742.07

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Solution

The fourth proportional to 31,889.26, 44,007.60 and 17,742.07 is: 24,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,889.26 : 44,007.60 = 17,742.07 : x
  2. Step 2: Convert to fraction form
    31,889.26/44,007.60 = 17,742.07/x
  3. Step 3: Cross multiply
    31,889.26x = 44,007.60 × 17,742.07
  4. Step 4: Simplify right side
    31,889.26x = 780,785,919.73
  5. Step 5: Solve for x
    x = 780,785,919.73/31,889.26
  6. Step 6: Final answer
    x = 24,484.29

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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.