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Finding the Fourth Proportional to 37,105.96, 51,255.30 and 27,658.12

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Solution

The fourth proportional to 37,105.96, 51,255.30 and 27,658.12 is: 38,204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,105.96 : 51,255.30 = 27,658.12 : x
  2. Step 2: Convert to fraction form
    37,105.96/51,255.30 = 27,658.12/x
  3. Step 3: Cross multiply
    37,105.96x = 51,255.30 × 27,658.12
  4. Step 4: Simplify right side
    37,105.96x = 1,417,625,238.04
  5. Step 5: Solve for x
    x = 1,417,625,238.04/37,105.96
  6. Step 6: Final answer
    x = 38,204.79

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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.