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Finding the Fourth Proportional to 51,753.70, 77,629.95 and 36,493.42

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Solution

The fourth proportional to 51,753.70, 77,629.95 and 36,493.42 is: 54,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,753.70 : 77,629.95 = 36,493.42 : x
  2. Step 2: Convert to fraction form
    51,753.70/77,629.95 = 36,493.42/x
  3. Step 3: Cross multiply
    51,753.70x = 77,629.95 × 36,493.42
  4. Step 4: Simplify right side
    51,753.70x = 2,832,982,369.93
  5. Step 5: Solve for x
    x = 2,832,982,369.93/51,753.70
  6. Step 6: Final answer
    x = 54,739.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.