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Finding the Fourth Proportional to 52,204.68, 78,151.50 and 50,338.44

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Solution

The fourth proportional to 52,204.68, 78,151.50 and 50,338.44 is: 75,357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,204.68 : 78,151.50 = 50,338.44 : x
  2. Step 2: Convert to fraction form
    52,204.68/78,151.50 = 50,338.44/x
  3. Step 3: Cross multiply
    52,204.68x = 78,151.50 × 50,338.44
  4. Step 4: Simplify right side
    52,204.68x = 3,934,024,593.66
  5. Step 5: Solve for x
    x = 3,934,024,593.66/52,204.68
  6. Step 6: Final answer
    x = 75,357.70

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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.