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Finding the Fourth Proportional to 102,832.56, 154,272 and 36,277.44

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Solution

The fourth proportional to 102,832.56, 154,272 and 36,277.44 is: 54,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,832.56 : 154,272 = 36,277.44 : x
  2. Step 2: Convert to fraction form
    102,832.56/154,272 = 36,277.44/x
  3. Step 3: Cross multiply
    102,832.56x = 154,272 × 36,277.44
  4. Step 4: Simplify right side
    102,832.56x = 5,596,593,223.68
  5. Step 5: Solve for x
    x = 5,596,593,223.68/102,832.56
  6. Step 6: Final answer
    x = 54,424.33

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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.