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Finding the Fourth Proportional to 102,889.80, 154,363.92 and 32,774.52

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Solution

The fourth proportional to 102,889.80, 154,363.92 and 32,774.52 is: 49,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,889.80 : 154,363.92 = 32,774.52 : x
  2. Step 2: Convert to fraction form
    102,889.80/154,363.92 = 32,774.52/x
  3. Step 3: Cross multiply
    102,889.80x = 154,363.92 × 32,774.52
  4. Step 4: Simplify right side
    102,889.80x = 5,059,203,383.32
  5. Step 5: Solve for x
    x = 5,059,203,383.32/102,889.80
  6. Step 6: Final answer
    x = 49,171.09

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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.