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Finding the Fourth Proportional to 57,642.30, 79,544.79 and 32,149.44

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Solution

The fourth proportional to 57,642.30, 79,544.79 and 32,149.44 is: 44,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,642.30 : 79,544.79 = 32,149.44 : x
  2. Step 2: Convert to fraction form
    57,642.30/79,544.79 = 32,149.44/x
  3. Step 3: Cross multiply
    57,642.30x = 79,544.79 × 32,149.44
  4. Step 4: Simplify right side
    57,642.30x = 2,557,320,453.42
  5. Step 5: Solve for x
    x = 2,557,320,453.42/57,642.30
  6. Step 6: Final answer
    x = 44,365.34

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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.