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Finding the Fourth Proportional to 36,776.84, 50,752.14 and 20,009.84

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Solution

The fourth proportional to 36,776.84, 50,752.14 and 20,009.84 is: 27,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,776.84 : 50,752.14 = 20,009.84 : x
  2. Step 2: Convert to fraction form
    36,776.84/50,752.14 = 20,009.84/x
  3. Step 3: Cross multiply
    36,776.84x = 50,752.14 × 20,009.84
  4. Step 4: Simplify right side
    36,776.84x = 1,015,542,201.06
  5. Step 5: Solve for x
    x = 1,015,542,201.06/36,776.84
  6. Step 6: Final answer
    x = 27,613.63

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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.