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Finding the Fourth Proportional to 36,594.38, 50,500.26 and 19,827.38

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Solution

The fourth proportional to 36,594.38, 50,500.26 and 19,827.38 is: 27,361.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,594.38 : 50,500.26 = 19,827.38 : x
  2. Step 2: Convert to fraction form
    36,594.38/50,500.26 = 19,827.38/x
  3. Step 3: Cross multiply
    36,594.38x = 50,500.26 × 19,827.38
  4. Step 4: Simplify right side
    36,594.38x = 1,001,287,971.37
  5. Step 5: Solve for x
    x = 1,001,287,971.37/36,594.38
  6. Step 6: Final answer
    x = 27,361.79

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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.