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Finding the Fourth Proportional to 45,149.84, 67,744.24 and 30,414.32

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Solution

The fourth proportional to 45,149.84, 67,744.24 and 30,414.32 is: 45,634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,149.84 : 67,744.24 = 30,414.32 : x
  2. Step 2: Convert to fraction form
    45,149.84/67,744.24 = 30,414.32/x
  3. Step 3: Cross multiply
    45,149.84x = 67,744.24 × 30,414.32
  4. Step 4: Simplify right side
    45,149.84x = 2,060,394,993.52
  5. Step 5: Solve for x
    x = 2,060,394,993.52/45,149.84
  6. Step 6: Final answer
    x = 45,634.60

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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.