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Finding the Fourth Proportional to 101,965.21, 152,900.25 and 38,797.09

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Solution

The fourth proportional to 101,965.21, 152,900.25 and 38,797.09 is: 58,177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,965.21 : 152,900.25 = 38,797.09 : x
  2. Step 2: Convert to fraction form
    101,965.21/152,900.25 = 38,797.09/x
  3. Step 3: Cross multiply
    101,965.21x = 152,900.25 × 38,797.09
  4. Step 4: Simplify right side
    101,965.21x = 5,932,084,760.27
  5. Step 5: Solve for x
    x = 5,932,084,760.27/101,965.21
  6. Step 6: Final answer
    x = 58,177.54

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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.