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Finding the Fourth Proportional to 73,334, 101,198.76 and 39,800

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Solution

The fourth proportional to 73,334, 101,198.76 and 39,800 is: 54,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,334 : 101,198.76 = 39,800 : x
  2. Step 2: Convert to fraction form
    73,334/101,198.76 = 39,800/x
  3. Step 3: Cross multiply
    73,334x = 101,198.76 × 39,800
  4. Step 4: Simplify right side
    73,334x = 4,027,710,648
  5. Step 5: Solve for x
    x = 4,027,710,648/73,334
  6. Step 6: Final answer
    x = 54,922.83

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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.