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Finding the Fourth Proportional to 49,548.96, 68,354.82 and 31,635

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Solution

The fourth proportional to 49,548.96, 68,354.82 and 31,635 is: 43,641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,548.96 : 68,354.82 = 31,635 : x
  2. Step 2: Convert to fraction form
    49,548.96/68,354.82 = 31,635/x
  3. Step 3: Cross multiply
    49,548.96x = 68,354.82 × 31,635
  4. Step 4: Simplify right side
    49,548.96x = 2,162,404,730.70
  5. Step 5: Solve for x
    x = 2,162,404,730.70/49,548.96
  6. Step 6: Final answer
    x = 43,641.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.