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Finding the Fourth Proportional to 50,082, 69,113.16 and 27,727.44

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Solution

The fourth proportional to 50,082, 69,113.16 and 27,727.44 is: 38,263.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,082 : 69,113.16 = 27,727.44 : x
  2. Step 2: Convert to fraction form
    50,082/69,113.16 = 27,727.44/x
  3. Step 3: Cross multiply
    50,082x = 69,113.16 × 27,727.44
  4. Step 4: Simplify right side
    50,082x = 1,916,330,997.11
  5. Step 5: Solve for x
    x = 1,916,330,997.11/50,082
  6. Step 6: Final answer
    x = 38,263.87

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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.