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Finding the Fourth Proportional to 69,704.32, 96,193.92 and 41,026

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Solution

The fourth proportional to 69,704.32, 96,193.92 and 41,026 is: 56,617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,704.32 : 96,193.92 = 41,026 : x
  2. Step 2: Convert to fraction form
    69,704.32/96,193.92 = 41,026/x
  3. Step 3: Cross multiply
    69,704.32x = 96,193.92 × 41,026
  4. Step 4: Simplify right side
    69,704.32x = 3,946,451,761.92
  5. Step 5: Solve for x
    x = 3,946,451,761.92/69,704.32
  6. Step 6: Final answer
    x = 56,617.03

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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.