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Finding the Fourth Proportional to 73,715.78, 101,727.42 and 41,882.24

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Solution

The fourth proportional to 73,715.78, 101,727.42 and 41,882.24 is: 57,797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,715.78 : 101,727.42 = 41,882.24 : x
  2. Step 2: Convert to fraction form
    73,715.78/101,727.42 = 41,882.24/x
  3. Step 3: Cross multiply
    73,715.78x = 101,727.42 × 41,882.24
  4. Step 4: Simplify right side
    73,715.78x = 4,260,572,219.02
  5. Step 5: Solve for x
    x = 4,260,572,219.02/73,715.78
  6. Step 6: Final answer
    x = 57,797.29

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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.