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Finding the Fourth Proportional to 47,901.41, 66,103.97 and 27,769.97

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Solution

The fourth proportional to 47,901.41, 66,103.97 and 27,769.97 is: 38,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,901.41 : 66,103.97 = 27,769.97 : x
  2. Step 2: Convert to fraction form
    47,901.41/66,103.97 = 27,769.97/x
  3. Step 3: Cross multiply
    47,901.41x = 66,103.97 × 27,769.97
  4. Step 4: Simplify right side
    47,901.41x = 1,835,704,794.41
  5. Step 5: Solve for x
    x = 1,835,704,794.41/47,901.41
  6. Step 6: Final answer
    x = 38,322.56

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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.