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Finding the Fourth Proportional to 50,864.52, 76,286.70 and 41,061

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Solution

The fourth proportional to 50,864.52, 76,286.70 and 41,061 is: 61,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,864.52 : 76,286.70 = 41,061 : x
  2. Step 2: Convert to fraction form
    50,864.52/76,286.70 = 41,061/x
  3. Step 3: Cross multiply
    50,864.52x = 76,286.70 × 41,061
  4. Step 4: Simplify right side
    50,864.52x = 3,132,408,188.70
  5. Step 5: Solve for x
    x = 3,132,408,188.70/50,864.52
  6. Step 6: Final answer
    x = 61,583.36

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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.