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Finding the Fourth Proportional to 31,589.94, 47,393.64 and 13,817.37

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Solution

The fourth proportional to 31,589.94, 47,393.64 and 13,817.37 is: 20,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,589.94 : 47,393.64 = 13,817.37 : x
  2. Step 2: Convert to fraction form
    31,589.94/47,393.64 = 13,817.37/x
  3. Step 3: Cross multiply
    31,589.94x = 47,393.64 × 13,817.37
  4. Step 4: Simplify right side
    31,589.94x = 654,855,459.53
  5. Step 5: Solve for x
    x = 654,855,459.53/31,589.94
  6. Step 6: Final answer
    x = 20,729.87

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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.