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Finding the Fourth Proportional to 83,634.84, 115,414.83 and 45,909.09

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Solution

The fourth proportional to 83,634.84, 115,414.83 and 45,909.09 is: 63,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,634.84 : 115,414.83 = 45,909.09 : x
  2. Step 2: Convert to fraction form
    83,634.84/115,414.83 = 45,909.09/x
  3. Step 3: Cross multiply
    83,634.84x = 115,414.83 × 45,909.09
  4. Step 4: Simplify right side
    83,634.84x = 5,298,589,817.80
  5. Step 5: Solve for x
    x = 5,298,589,817.80/83,634.84
  6. Step 6: Final answer
    x = 63,353.86

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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.