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Finding the Fourth Proportional to 50,814, 76,222.52 and 13,878

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Solution

The fourth proportional to 50,814, 76,222.52 and 13,878 is: 20,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,814 : 76,222.52 = 13,878 : x
  2. Step 2: Convert to fraction form
    50,814/76,222.52 = 13,878/x
  3. Step 3: Cross multiply
    50,814x = 76,222.52 × 13,878
  4. Step 4: Simplify right side
    50,814x = 1,057,816,132.56
  5. Step 5: Solve for x
    x = 1,057,816,132.56/50,814
  6. Step 6: Final answer
    x = 20,817.42

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Why These Related Problems?

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