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Finding the Fourth Proportional to 50,535.90, 69,753.42 and 29,322

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Solution

The fourth proportional to 50,535.90, 69,753.42 and 29,322 is: 40,472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,535.90 : 69,753.42 = 29,322 : x
  2. Step 2: Convert to fraction form
    50,535.90/69,753.42 = 29,322/x
  3. Step 3: Cross multiply
    50,535.90x = 69,753.42 × 29,322
  4. Step 4: Simplify right side
    50,535.90x = 2,045,309,781.24
  5. Step 5: Solve for x
    x = 2,045,309,781.24/50,535.90
  6. Step 6: Final answer
    x = 40,472.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.