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Finding the Fourth Proportional to 54,873.32, 75,721.26 and 32,213.24

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Solution

The fourth proportional to 54,873.32, 75,721.26 and 32,213.24 is: 44,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,873.32 : 75,721.26 = 32,213.24 : x
  2. Step 2: Convert to fraction form
    54,873.32/75,721.26 = 32,213.24/x
  3. Step 3: Cross multiply
    54,873.32x = 75,721.26 × 32,213.24
  4. Step 4: Simplify right side
    54,873.32x = 2,439,227,121.48
  5. Step 5: Solve for x
    x = 2,439,227,121.48/54,873.32
  6. Step 6: Final answer
    x = 44,451.97

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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.