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Finding the Fourth Proportional to 52,419.70, 78,249.49 and 48,517.27

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Solution

The fourth proportional to 52,419.70, 78,249.49 and 48,517.27 is: 72,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,419.70 : 78,249.49 = 48,517.27 : x
  2. Step 2: Convert to fraction form
    52,419.70/78,249.49 = 48,517.27/x
  3. Step 3: Cross multiply
    52,419.70x = 78,249.49 × 48,517.27
  4. Step 4: Simplify right side
    52,419.70x = 3,796,451,633.69
  5. Step 5: Solve for x
    x = 3,796,451,633.69/52,419.70
  6. Step 6: Final answer
    x = 72,424.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.