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Finding the Fourth Proportional to 101,855.25, 152,786.97 and 48,519.81

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Solution

The fourth proportional to 101,855.25, 152,786.97 and 48,519.81 is: 72,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,855.25 : 152,786.97 = 48,519.81 : x
  2. Step 2: Convert to fraction form
    101,855.25/152,786.97 = 48,519.81/x
  3. Step 3: Cross multiply
    101,855.25x = 152,786.97 × 48,519.81
  4. Step 4: Simplify right side
    101,855.25x = 7,413,194,754.88
  5. Step 5: Solve for x
    x = 7,413,194,754.88/101,855.25
  6. Step 6: Final answer
    x = 72,781.67

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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.