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Finding the Fourth Proportional to 73,698.82, 101,691.92 and 41,429.14

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Solution

The fourth proportional to 73,698.82, 101,691.92 and 41,429.14 is: 57,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,698.82 : 101,691.92 = 41,429.14 : x
  2. Step 2: Convert to fraction form
    73,698.82/101,691.92 = 41,429.14/x
  3. Step 3: Cross multiply
    73,698.82x = 101,691.92 × 41,429.14
  4. Step 4: Simplify right side
    73,698.82x = 4,213,008,790.55
  5. Step 5: Solve for x
    x = 4,213,008,790.55/73,698.82
  6. Step 6: Final answer
    x = 57,165.21

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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.