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Finding the Fourth Proportional to 109,882.57, 164,769.32 and 34,992.95

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Solution

The fourth proportional to 109,882.57, 164,769.32 and 34,992.95 is: 52,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,882.57 : 164,769.32 = 34,992.95 : x
  2. Step 2: Convert to fraction form
    109,882.57/164,769.32 = 34,992.95/x
  3. Step 3: Cross multiply
    109,882.57x = 164,769.32 × 34,992.95
  4. Step 4: Simplify right side
    109,882.57x = 5,765,764,576.29
  5. Step 5: Solve for x
    x = 5,765,764,576.29/109,882.57
  6. Step 6: Final answer
    x = 52,472.06

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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.