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Finding the Fourth Proportional to 47,538.38, 65,605.38 and 27,398.54

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Solution

The fourth proportional to 47,538.38, 65,605.38 and 27,398.54 is: 37,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,538.38 : 65,605.38 = 27,398.54 : x
  2. Step 2: Convert to fraction form
    47,538.38/65,605.38 = 27,398.54/x
  3. Step 3: Cross multiply
    47,538.38x = 65,605.38 × 27,398.54
  4. Step 4: Simplify right side
    47,538.38x = 1,797,491,628.15
  5. Step 5: Solve for x
    x = 1,797,491,628.15/47,538.38
  6. Step 6: Final answer
    x = 37,811.38

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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.