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Finding the Fourth Proportional to 75,324.72, 103,944.64 and 41,332.38

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Solution

The fourth proportional to 75,324.72, 103,944.64 and 41,332.38 is: 57,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,324.72 : 103,944.64 = 41,332.38 : x
  2. Step 2: Convert to fraction form
    75,324.72/103,944.64 = 41,332.38/x
  3. Step 3: Cross multiply
    75,324.72x = 103,944.64 × 41,332.38
  4. Step 4: Simplify right side
    75,324.72x = 4,296,279,359.44
  5. Step 5: Solve for x
    x = 4,296,279,359.44/75,324.72
  6. Step 6: Final answer
    x = 57,036.78

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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.