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Finding the Fourth Proportional to 101,872.66, 152,774.37 and 35,297.25

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Solution

The fourth proportional to 101,872.66, 152,774.37 and 35,297.25 is: 52,933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,872.66 : 152,774.37 = 35,297.25 : x
  2. Step 2: Convert to fraction form
    101,872.66/152,774.37 = 35,297.25/x
  3. Step 3: Cross multiply
    101,872.66x = 152,774.37 × 35,297.25
  4. Step 4: Simplify right side
    101,872.66x = 5,392,514,367.61
  5. Step 5: Solve for x
    x = 5,392,514,367.61/101,872.66
  6. Step 6: Final answer
    x = 52,933.87

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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.