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Finding the Fourth Proportional to 82,561.26, 113,944.24 and 49,027.26

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Solution

The fourth proportional to 82,561.26, 113,944.24 and 49,027.26 is: 67,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,561.26 : 113,944.24 = 49,027.26 : x
  2. Step 2: Convert to fraction form
    82,561.26/113,944.24 = 49,027.26/x
  3. Step 3: Cross multiply
    82,561.26x = 113,944.24 × 49,027.26
  4. Step 4: Simplify right side
    82,561.26x = 5,586,373,879.98
  5. Step 5: Solve for x
    x = 5,586,373,879.98/82,561.26
  6. Step 6: Final answer
    x = 67,663.38

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1.5x scale

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.