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Finding the Fourth Proportional to 73,715.38, 101,727.29 and 40,181.38

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Solution

The fourth proportional to 73,715.38, 101,727.29 and 40,181.38 is: 55,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,715.38 : 101,727.29 = 40,181.38 : x
  2. Step 2: Convert to fraction form
    73,715.38/101,727.29 = 40,181.38/x
  3. Step 3: Cross multiply
    73,715.38x = 101,727.29 × 40,181.38
  4. Step 4: Simplify right side
    73,715.38x = 4,087,542,895.86
  5. Step 5: Solve for x
    x = 4,087,542,895.86/73,715.38
  6. Step 6: Final answer
    x = 55,450.34

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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.