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Finding the Fourth Proportional to 76,934, 106,169.24 and 41,606

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Solution

The fourth proportional to 76,934, 106,169.24 and 41,606 is: 57,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,934 : 106,169.24 = 41,606 : x
  2. Step 2: Convert to fraction form
    76,934/106,169.24 = 41,606/x
  3. Step 3: Cross multiply
    76,934x = 106,169.24 × 41,606
  4. Step 4: Simplify right side
    76,934x = 4,417,277,399.44
  5. Step 5: Solve for x
    x = 4,417,277,399.44/76,934
  6. Step 6: Final answer
    x = 57,416.45

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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.