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Finding the Fourth Proportional to 50,438, 69,604.92 and 28,082.48

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Solution

The fourth proportional to 50,438, 69,604.92 and 28,082.48 is: 38,754.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,438 : 69,604.92 = 28,082.48 : x
  2. Step 2: Convert to fraction form
    50,438/69,604.92 = 28,082.48/x
  3. Step 3: Cross multiply
    50,438x = 69,604.92 × 28,082.48
  4. Step 4: Simplify right side
    50,438x = 1,954,678,773.80
  5. Step 5: Solve for x
    x = 1,954,678,773.80/50,438
  6. Step 6: Final answer
    x = 38,754.09

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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.