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Finding the Fourth Proportional to 55,744.92, 76,932 and 31,879.08

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Solution

The fourth proportional to 55,744.92, 76,932 and 31,879.08 is: 43,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,744.92 : 76,932 = 31,879.08 : x
  2. Step 2: Convert to fraction form
    55,744.92/76,932 = 31,879.08/x
  3. Step 3: Cross multiply
    55,744.92x = 76,932 × 31,879.08
  4. Step 4: Simplify right side
    55,744.92x = 2,452,521,382.56
  5. Step 5: Solve for x
    x = 2,452,521,382.56/55,744.92
  6. Step 6: Final answer
    x = 43,995.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.