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Finding the Fourth Proportional to 73,965.38, 102,073.84 and 40,431.38

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Solution

The fourth proportional to 73,965.38, 102,073.84 and 40,431.38 is: 55,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,965.38 : 102,073.84 = 40,431.38 : x
  2. Step 2: Convert to fraction form
    73,965.38/102,073.84 = 40,431.38/x
  3. Step 3: Cross multiply
    73,965.38x = 102,073.84 × 40,431.38
  4. Step 4: Simplify right side
    73,965.38x = 4,126,985,601.65
  5. Step 5: Solve for x
    x = 4,126,985,601.65/73,965.38
  6. Step 6: Final answer
    x = 55,796.18

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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.