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Finding the Fourth Proportional to 31,589.68, 47,344.73 and 27,631.52

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Solution

The fourth proportional to 31,589.68, 47,344.73 and 27,631.52 is: 41,412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,589.68 : 47,344.73 = 27,631.52 : x
  2. Step 2: Convert to fraction form
    31,589.68/47,344.73 = 27,631.52/x
  3. Step 3: Cross multiply
    31,589.68x = 47,344.73 × 27,631.52
  4. Step 4: Simplify right side
    31,589.68x = 1,308,206,479.01
  5. Step 5: Solve for x
    x = 1,308,206,479.01/31,589.68
  6. Step 6: Final answer
    x = 41,412.47

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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.