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Finding the Fourth Proportional to 75,452.75, 113,142.62 and 43,871.96

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Solution

The fourth proportional to 75,452.75, 113,142.62 and 43,871.96 is: 65,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,452.75 : 113,142.62 = 43,871.96 : x
  2. Step 2: Convert to fraction form
    75,452.75/113,142.62 = 43,871.96/x
  3. Step 3: Cross multiply
    75,452.75x = 113,142.62 × 43,871.96
  4. Step 4: Simplify right side
    75,452.75x = 4,963,788,891.47
  5. Step 5: Solve for x
    x = 4,963,788,891.47/75,452.75
  6. Step 6: Final answer
    x = 65,786.72

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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.