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Finding the Fourth Proportional to 41,622, 62,414.48 and 12,032.80

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Solution

The fourth proportional to 41,622, 62,414.48 and 12,032.80 is: 18,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,622 : 62,414.48 = 12,032.80 : x
  2. Step 2: Convert to fraction form
    41,622/62,414.48 = 12,032.80/x
  3. Step 3: Cross multiply
    41,622x = 62,414.48 × 12,032.80
  4. Step 4: Simplify right side
    41,622x = 751,020,954.94
  5. Step 5: Solve for x
    x = 751,020,954.94/41,622
  6. Step 6: Final answer
    x = 18,043.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.