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Finding the Fourth Proportional to 47,906.52, 66,105.95 and 27,769.72

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Solution

The fourth proportional to 47,906.52, 66,105.95 and 27,769.72 is: 38,319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,906.52 : 66,105.95 = 27,769.72 : x
  2. Step 2: Convert to fraction form
    47,906.52/66,105.95 = 27,769.72/x
  3. Step 3: Cross multiply
    47,906.52x = 66,105.95 × 27,769.72
  4. Step 4: Simplify right side
    47,906.52x = 1,835,743,721.83
  5. Step 5: Solve for x
    x = 1,835,743,721.83/47,906.52
  6. Step 6: Final answer
    x = 38,319.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.