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Finding the Fourth Proportional to 47,297.64, 65,252.38 and 27,147.24

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Solution

The fourth proportional to 47,297.64, 65,252.38 and 27,147.24 is: 37,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,297.64 : 65,252.38 = 27,147.24 : x
  2. Step 2: Convert to fraction form
    47,297.64/65,252.38 = 27,147.24/x
  3. Step 3: Cross multiply
    47,297.64x = 65,252.38 × 27,147.24
  4. Step 4: Simplify right side
    47,297.64x = 1,771,422,020.43
  5. Step 5: Solve for x
    x = 1,771,422,020.43/47,297.64
  6. Step 6: Final answer
    x = 37,452.65

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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.