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Finding the Fourth Proportional to 80,942.56, 111,702.16 and 44,648.16

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Solution

The fourth proportional to 80,942.56, 111,702.16 and 44,648.16 is: 61,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,942.56 : 111,702.16 = 44,648.16 : x
  2. Step 2: Convert to fraction form
    80,942.56/111,702.16 = 44,648.16/x
  3. Step 3: Cross multiply
    80,942.56x = 111,702.16 × 44,648.16
  4. Step 4: Simplify right side
    80,942.56x = 4,987,295,912.03
  5. Step 5: Solve for x
    x = 4,987,295,912.03/80,942.56
  6. Step 6: Final answer
    x = 61,615.25

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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.