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Finding the Fourth Proportional to 49,759.50, 74,638.79 and 20,170.31

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Solution

The fourth proportional to 49,759.50, 74,638.79 and 20,170.31 is: 30,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,759.50 : 74,638.79 = 20,170.31 : x
  2. Step 2: Convert to fraction form
    49,759.50/74,638.79 = 20,170.31/x
  3. Step 3: Cross multiply
    49,759.50x = 74,638.79 × 20,170.31
  4. Step 4: Simplify right side
    49,759.50x = 1,505,487,058.28
  5. Step 5: Solve for x
    x = 1,505,487,058.28/49,759.50
  6. Step 6: Final answer
    x = 30,255.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.