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Finding the Fourth Proportional to 31,144.46, 46,687.90 and 12,419.94

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Solution

The fourth proportional to 31,144.46, 46,687.90 and 12,419.94 is: 18,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.46 : 46,687.90 = 12,419.94 : x
  2. Step 2: Convert to fraction form
    31,144.46/46,687.90 = 12,419.94/x
  3. Step 3: Cross multiply
    31,144.46x = 46,687.90 × 12,419.94
  4. Step 4: Simplify right side
    31,144.46x = 579,860,916.73
  5. Step 5: Solve for x
    x = 579,860,916.73/31,144.46
  6. Step 6: Final answer
    x = 18,618.43

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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.