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Finding the Fourth Proportional to 75,135.52, 103,686.78 and 41,601.52

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Solution

The fourth proportional to 75,135.52, 103,686.78 and 41,601.52 is: 57,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,135.52 : 103,686.78 = 41,601.52 : x
  2. Step 2: Convert to fraction form
    75,135.52/103,686.78 = 41,601.52/x
  3. Step 3: Cross multiply
    75,135.52x = 103,686.78 × 41,601.52
  4. Step 4: Simplify right side
    75,135.52x = 4,313,527,651.91
  5. Step 5: Solve for x
    x = 4,313,527,651.91/75,135.52
  6. Step 6: Final answer
    x = 57,409.97

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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.