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Finding the Fourth Proportional to 31,204.89, 46,811.30 and 12,227.13

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Solution

The fourth proportional to 31,204.89, 46,811.30 and 12,227.13 is: 18,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204.89 : 46,811.30 = 12,227.13 : x
  2. Step 2: Convert to fraction form
    31,204.89/46,811.30 = 12,227.13/x
  3. Step 3: Cross multiply
    31,204.89x = 46,811.30 × 12,227.13
  4. Step 4: Simplify right side
    31,204.89x = 572,367,789.43
  5. Step 5: Solve for x
    x = 572,367,789.43/31,204.89
  6. Step 6: Final answer
    x = 18,342.25

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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.