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Finding the Fourth Proportional to 75,415.92, 104,067.90 and 43,586.88

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Solution

The fourth proportional to 75,415.92, 104,067.90 and 43,586.88 is: 60,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,415.92 : 104,067.90 = 43,586.88 : x
  2. Step 2: Convert to fraction form
    75,415.92/104,067.90 = 43,586.88/x
  3. Step 3: Cross multiply
    75,415.92x = 104,067.90 × 43,586.88
  4. Step 4: Simplify right side
    75,415.92x = 4,535,995,069.15
  5. Step 5: Solve for x
    x = 4,535,995,069.15/75,415.92
  6. Step 6: Final answer
    x = 60,146.39

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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.