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Finding the Fourth Proportional to 47,462.54, 65,514.77 and 27,327.44

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Solution

The fourth proportional to 47,462.54, 65,514.77 and 27,327.44 is: 37,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,462.54 : 65,514.77 = 27,327.44 : x
  2. Step 2: Convert to fraction form
    47,462.54/65,514.77 = 27,327.44/x
  3. Step 3: Cross multiply
    47,462.54x = 65,514.77 × 27,327.44
  4. Step 4: Simplify right side
    47,462.54x = 1,790,350,861.11
  5. Step 5: Solve for x
    x = 1,790,350,861.11/47,462.54
  6. Step 6: Final answer
    x = 37,721.35

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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.