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Finding the Fourth Proportional to 47,494.14, 65,542.54 and 27,354.56

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Solution

The fourth proportional to 47,494.14, 65,542.54 and 27,354.56 is: 37,749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,494.14 : 65,542.54 = 27,354.56 : x
  2. Step 2: Convert to fraction form
    47,494.14/65,542.54 = 27,354.56/x
  3. Step 3: Cross multiply
    47,494.14x = 65,542.54 × 27,354.56
  4. Step 4: Simplify right side
    47,494.14x = 1,792,887,342.98
  5. Step 5: Solve for x
    x = 1,792,887,342.98/47,494.14
  6. Step 6: Final answer
    x = 37,749.65

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