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Finding the Fourth Proportional to 35,936.64, 49,593.60 and 20,023.20

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Solution

The fourth proportional to 35,936.64, 49,593.60 and 20,023.20 is: 27,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,936.64 : 49,593.60 = 20,023.20 : x
  2. Step 2: Convert to fraction form
    35,936.64/49,593.60 = 20,023.20/x
  3. Step 3: Cross multiply
    35,936.64x = 49,593.60 × 20,023.20
  4. Step 4: Simplify right side
    35,936.64x = 993,022,571.52
  5. Step 5: Solve for x
    x = 993,022,571.52/35,936.64
  6. Step 6: Final answer
    x = 27,632.59

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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.