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Finding the Fourth Proportional to 69,687.72, 96,157.67 and 41,031.54

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Solution

The fourth proportional to 69,687.72, 96,157.67 and 41,031.54 is: 56,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,687.72 : 96,157.67 = 41,031.54 : x
  2. Step 2: Convert to fraction form
    69,687.72/96,157.67 = 41,031.54/x
  3. Step 3: Cross multiply
    69,687.72x = 96,157.67 × 41,031.54
  4. Step 4: Simplify right side
    69,687.72x = 3,945,497,077.75
  5. Step 5: Solve for x
    x = 3,945,497,077.75/69,687.72
  6. Step 6: Final answer
    x = 56,616.82

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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.