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Finding the Fourth Proportional to 50,777, 76,165.50 and 13,841

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Solution

The fourth proportional to 50,777, 76,165.50 and 13,841 is: 20,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,777 : 76,165.50 = 13,841 : x
  2. Step 2: Convert to fraction form
    50,777/76,165.50 = 13,841/x
  3. Step 3: Cross multiply
    50,777x = 76,165.50 × 13,841
  4. Step 4: Simplify right side
    50,777x = 1,054,206,685.50
  5. Step 5: Solve for x
    x = 1,054,206,685.50/50,777
  6. Step 6: Final answer
    x = 20,761.50

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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.