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Finding the Fourth Proportional to 75,141.50, 112,769.40 and 27,801.42

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Solution

The fourth proportional to 75,141.50, 112,769.40 and 27,801.42 is: 41,723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,141.50 : 112,769.40 = 27,801.42 : x
  2. Step 2: Convert to fraction form
    75,141.50/112,769.40 = 27,801.42/x
  3. Step 3: Cross multiply
    75,141.50x = 112,769.40 × 27,801.42
  4. Step 4: Simplify right side
    75,141.50x = 3,135,149,452.55
  5. Step 5: Solve for x
    x = 3,135,149,452.55/75,141.50
  6. Step 6: Final answer
    x = 41,723.27

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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.