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Finding the Fourth Proportional to 31,243.50, 46,865.31 and 12,775.50

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Solution

The fourth proportional to 31,243.50, 46,865.31 and 12,775.50 is: 19,163.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,243.50 : 46,865.31 = 12,775.50 : x
  2. Step 2: Convert to fraction form
    31,243.50/46,865.31 = 12,775.50/x
  3. Step 3: Cross multiply
    31,243.50x = 46,865.31 × 12,775.50
  4. Step 4: Simplify right side
    31,243.50x = 598,727,767.91
  5. Step 5: Solve for x
    x = 598,727,767.91/31,243.50
  6. Step 6: Final answer
    x = 19,163.27

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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.