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Finding the Fourth Proportional to 31,427.91, 43,358.13 and 17,991.90

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Solution

The fourth proportional to 31,427.91, 43,358.13 and 17,991.90 is: 24,821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,427.91 : 43,358.13 = 17,991.90 : x
  2. Step 2: Convert to fraction form
    31,427.91/43,358.13 = 17,991.90/x
  3. Step 3: Cross multiply
    31,427.91x = 43,358.13 × 17,991.90
  4. Step 4: Simplify right side
    31,427.91x = 780,095,139.15
  5. Step 5: Solve for x
    x = 780,095,139.15/31,427.91
  6. Step 6: Final answer
    x = 24,821.73

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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.