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Finding the Fourth Proportional to 31,171.67, 46,767.87 and 10,112.39

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Solution

The fourth proportional to 31,171.67, 46,767.87 and 10,112.39 is: 15,171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.67 : 46,767.87 = 10,112.39 : x
  2. Step 2: Convert to fraction form
    31,171.67/46,767.87 = 10,112.39/x
  3. Step 3: Cross multiply
    31,171.67x = 46,767.87 × 10,112.39
  4. Step 4: Simplify right side
    31,171.67x = 472,934,940.91
  5. Step 5: Solve for x
    x = 472,934,940.91/31,171.67
  6. Step 6: Final answer
    x = 15,171.95

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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.