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Finding the Fourth Proportional to 36,868.50, 50,878.53 and 20,101.50

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Solution

The fourth proportional to 36,868.50, 50,878.53 and 20,101.50 is: 27,740.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,868.50 : 50,878.53 = 20,101.50 : x
  2. Step 2: Convert to fraction form
    36,868.50/50,878.53 = 20,101.50/x
  3. Step 3: Cross multiply
    36,868.50x = 50,878.53 × 20,101.50
  4. Step 4: Simplify right side
    36,868.50x = 1,022,734,770.80
  5. Step 5: Solve for x
    x = 1,022,734,770.80/36,868.50
  6. Step 6: Final answer
    x = 27,740.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.