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Finding the Fourth Proportional to 31,450.50, 47,116.29 and 18,589.29

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Solution

The fourth proportional to 31,450.50, 47,116.29 and 18,589.29 is: 27,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,450.50 : 47,116.29 = 18,589.29 : x
  2. Step 2: Convert to fraction form
    31,450.50/47,116.29 = 18,589.29/x
  3. Step 3: Cross multiply
    31,450.50x = 47,116.29 × 18,589.29
  4. Step 4: Simplify right side
    31,450.50x = 875,858,378.53
  5. Step 5: Solve for x
    x = 875,858,378.53/31,450.50
  6. Step 6: Final answer
    x = 27,848.79

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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.