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Finding the Fourth Proportional to 50,949.84, 76,286.24 and 29,858.80

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Solution

The fourth proportional to 50,949.84, 76,286.24 and 29,858.80 is: 44,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,949.84 : 76,286.24 = 29,858.80 : x
  2. Step 2: Convert to fraction form
    50,949.84/76,286.24 = 29,858.80/x
  3. Step 3: Cross multiply
    50,949.84x = 76,286.24 × 29,858.80
  4. Step 4: Simplify right side
    50,949.84x = 2,277,815,582.91
  5. Step 5: Solve for x
    x = 2,277,815,582.91/50,949.84
  6. Step 6: Final answer
    x = 44,707.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.