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Finding the Fourth Proportional to 47,311.72, 65,284.26 and 27,169.48

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Solution

The fourth proportional to 47,311.72, 65,284.26 and 27,169.48 is: 37,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,311.72 : 65,284.26 = 27,169.48 : x
  2. Step 2: Convert to fraction form
    47,311.72/65,284.26 = 27,169.48/x
  3. Step 3: Cross multiply
    47,311.72x = 65,284.26 × 27,169.48
  4. Step 4: Simplify right side
    47,311.72x = 1,773,739,396.38
  5. Step 5: Solve for x
    x = 1,773,739,396.38/47,311.72
  6. Step 6: Final answer
    x = 37,490.49

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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.