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Finding the Fourth Proportional to 47,578.55, 65,665.39 and 27,431.49

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Solution

The fourth proportional to 47,578.55, 65,665.39 and 27,431.49 is: 37,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,578.55 : 65,665.39 = 27,431.49 : x
  2. Step 2: Convert to fraction form
    47,578.55/65,665.39 = 27,431.49/x
  3. Step 3: Cross multiply
    47,578.55x = 65,665.39 × 27,431.49
  4. Step 4: Simplify right side
    47,578.55x = 1,801,299,489.13
  5. Step 5: Solve for x
    x = 1,801,299,489.13/47,578.55
  6. Step 6: Final answer
    x = 37,859.49

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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.