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Finding the Fourth Proportional to 50,578.62, 75,876.14 and 18,991.16

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Solution

The fourth proportional to 50,578.62, 75,876.14 and 18,991.16 is: 28,489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,578.62 : 75,876.14 = 18,991.16 : x
  2. Step 2: Convert to fraction form
    50,578.62/75,876.14 = 18,991.16/x
  3. Step 3: Cross multiply
    50,578.62x = 75,876.14 × 18,991.16
  4. Step 4: Simplify right side
    50,578.62x = 1,440,975,914.92
  5. Step 5: Solve for x
    x = 1,440,975,914.92/50,578.62
  6. Step 6: Final answer
    x = 28,489.82

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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.