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Finding the Fourth Proportional to 73,178.91, 100,992.83 and 41,354.42

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Solution

The fourth proportional to 73,178.91, 100,992.83 and 41,354.42 is: 57,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,178.91 : 100,992.83 = 41,354.42 : x
  2. Step 2: Convert to fraction form
    73,178.91/100,992.83 = 41,354.42/x
  3. Step 3: Cross multiply
    73,178.91x = 100,992.83 × 41,354.42
  4. Step 4: Simplify right side
    73,178.91x = 4,176,499,197.07
  5. Step 5: Solve for x
    x = 4,176,499,197.07/73,178.91
  6. Step 6: Final answer
    x = 57,072.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.