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Finding the Fourth Proportional to 57,471.72, 79,305.84 and 31,977.24

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Solution

The fourth proportional to 57,471.72, 79,305.84 and 31,977.24 is: 44,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,471.72 : 79,305.84 = 31,977.24 : x
  2. Step 2: Convert to fraction form
    57,471.72/79,305.84 = 31,977.24/x
  3. Step 3: Cross multiply
    57,471.72x = 79,305.84 × 31,977.24
  4. Step 4: Simplify right side
    57,471.72x = 2,535,981,879.08
  5. Step 5: Solve for x
    x = 2,535,981,879.08/57,471.72
  6. Step 6: Final answer
    x = 44,125.73

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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.