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Finding the Fourth Proportional to 36,778.50, 50,755.14 and 20,011.50

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Solution

The fourth proportional to 36,778.50, 50,755.14 and 20,011.50 is: 27,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,778.50 : 50,755.14 = 20,011.50 : x
  2. Step 2: Convert to fraction form
    36,778.50/50,755.14 = 20,011.50/x
  3. Step 3: Cross multiply
    36,778.50x = 50,755.14 × 20,011.50
  4. Step 4: Simplify right side
    36,778.50x = 1,015,686,484.11
  5. Step 5: Solve for x
    x = 1,015,686,484.11/36,778.50
  6. Step 6: Final answer
    x = 27,616.31

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1.5x scale

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.