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Finding the Fourth Proportional to 73,093.05, 109,678 and 51,882.64

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Solution

The fourth proportional to 73,093.05, 109,678 and 51,882.64 is: 77,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,093.05 : 109,678 = 51,882.64 : x
  2. Step 2: Convert to fraction form
    73,093.05/109,678 = 51,882.64/x
  3. Step 3: Cross multiply
    73,093.05x = 109,678 × 51,882.64
  4. Step 4: Simplify right side
    73,093.05x = 5,690,384,189.92
  5. Step 5: Solve for x
    x = 5,690,384,189.92/73,093.05
  6. Step 6: Final answer
    x = 77,851.23

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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.