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Finding the Fourth Proportional to 27,179.92, 40,769.52 and 7,458.48

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Solution

The fourth proportional to 27,179.92, 40,769.52 and 7,458.48 is: 11,187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,179.92 : 40,769.52 = 7,458.48 : x
  2. Step 2: Convert to fraction form
    27,179.92/40,769.52 = 7,458.48/x
  3. Step 3: Cross multiply
    27,179.92x = 40,769.52 × 7,458.48
  4. Step 4: Simplify right side
    27,179.92x = 304,078,649.53
  5. Step 5: Solve for x
    x = 304,078,649.53/27,179.92
  6. Step 6: Final answer
    x = 11,187.62

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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.