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Finding the Fourth Proportional to 55,906.56, 83,773.44 and 32,544

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Solution

The fourth proportional to 55,906.56, 83,773.44 and 32,544 is: 48,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,906.56 : 83,773.44 = 32,544 : x
  2. Step 2: Convert to fraction form
    55,906.56/83,773.44 = 32,544/x
  3. Step 3: Cross multiply
    55,906.56x = 83,773.44 × 32,544
  4. Step 4: Simplify right side
    55,906.56x = 2,726,322,831.36
  5. Step 5: Solve for x
    x = 2,726,322,831.36/55,906.56
  6. Step 6: Final answer
    x = 48,765.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.