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Finding the Fourth Proportional to 31,515.98, 47,290.44 and 20,419.80

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Solution

The fourth proportional to 31,515.98, 47,290.44 and 20,419.80 is: 30,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,515.98 : 47,290.44 = 20,419.80 : x
  2. Step 2: Convert to fraction form
    31,515.98/47,290.44 = 20,419.80/x
  3. Step 3: Cross multiply
    31,515.98x = 47,290.44 × 20,419.80
  4. Step 4: Simplify right side
    31,515.98x = 965,661,326.71
  5. Step 5: Solve for x
    x = 965,661,326.71/31,515.98
  6. Step 6: Final answer
    x = 30,640.37

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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.