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Finding the Fourth Proportional to 75,185.33, 112,741.97 and 25,251.56

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Solution

The fourth proportional to 75,185.33, 112,741.97 and 25,251.56 is: 37,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,185.33 : 112,741.97 = 25,251.56 : x
  2. Step 2: Convert to fraction form
    75,185.33/112,741.97 = 25,251.56/x
  3. Step 3: Cross multiply
    75,185.33x = 112,741.97 × 25,251.56
  4. Step 4: Simplify right side
    75,185.33x = 2,846,910,119.39
  5. Step 5: Solve for x
    x = 2,846,910,119.39/75,185.33
  6. Step 6: Final answer
    x = 37,865.24

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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.