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Finding the Fourth Proportional to 83,494.41, 115,227 and 49,523.01

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Solution

The fourth proportional to 83,494.41, 115,227 and 49,523.01 is: 68,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,494.41 : 115,227 = 49,523.01 : x
  2. Step 2: Convert to fraction form
    83,494.41/115,227 = 49,523.01/x
  3. Step 3: Cross multiply
    83,494.41x = 115,227 × 49,523.01
  4. Step 4: Simplify right side
    83,494.41x = 5,706,387,873.27
  5. Step 5: Solve for x
    x = 5,706,387,873.27/83,494.41
  6. Step 6: Final answer
    x = 68,344.55

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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.