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Finding the Fourth Proportional to 36,535.34, 50,418.78 and 19,768.34

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Solution

The fourth proportional to 36,535.34, 50,418.78 and 19,768.34 is: 27,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,535.34 : 50,418.78 = 19,768.34 : x
  2. Step 2: Convert to fraction form
    36,535.34/50,418.78 = 19,768.34/x
  3. Step 3: Cross multiply
    36,535.34x = 50,418.78 × 19,768.34
  4. Step 4: Simplify right side
    36,535.34x = 996,695,585.43
  5. Step 5: Solve for x
    x = 996,695,585.43/36,535.34
  6. Step 6: Final answer
    x = 27,280.32

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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.