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Finding the Fourth Proportional to 31,291.74, 46,940.49 and 10,231.89

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Solution

The fourth proportional to 31,291.74, 46,940.49 and 10,231.89 is: 15,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,291.74 : 46,940.49 = 10,231.89 : x
  2. Step 2: Convert to fraction form
    31,291.74/46,940.49 = 10,231.89/x
  3. Step 3: Cross multiply
    31,291.74x = 46,940.49 × 10,231.89
  4. Step 4: Simplify right side
    31,291.74x = 480,289,930.23
  5. Step 5: Solve for x
    x = 480,289,930.23/31,291.74
  6. Step 6: Final answer
    x = 15,348.78

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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.