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Finding the Fourth Proportional to 49,853, 68,794.71 and 29,709.42

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Solution

The fourth proportional to 49,853, 68,794.71 and 29,709.42 is: 40,997.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,853 : 68,794.71 = 29,709.42 : x
  2. Step 2: Convert to fraction form
    49,853/68,794.71 = 29,709.42/x
  3. Step 3: Cross multiply
    49,853x = 68,794.71 × 29,709.42
  4. Step 4: Simplify right side
    49,853x = 2,043,850,933.17
  5. Step 5: Solve for x
    x = 2,043,850,933.17/49,853
  6. Step 6: Final answer
    x = 40,997.55

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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.