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Finding the Fourth Proportional to 101,162.70, 151,768.49 and 37,983.51

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Solution

The fourth proportional to 101,162.70, 151,768.49 and 37,983.51 is: 56,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,162.70 : 151,768.49 = 37,983.51 : x
  2. Step 2: Convert to fraction form
    101,162.70/151,768.49 = 37,983.51/x
  3. Step 3: Cross multiply
    101,162.70x = 151,768.49 × 37,983.51
  4. Step 4: Simplify right side
    101,162.70x = 5,764,699,767.68
  5. Step 5: Solve for x
    x = 5,764,699,767.68/101,162.70
  6. Step 6: Final answer
    x = 56,984.44

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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.