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Finding the Fourth Proportional to 53,892.64, 80,689.92 and 27,540.64

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Solution

The fourth proportional to 53,892.64, 80,689.92 and 27,540.64 is: 41,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,892.64 : 80,689.92 = 27,540.64 : x
  2. Step 2: Convert to fraction form
    53,892.64/80,689.92 = 27,540.64/x
  3. Step 3: Cross multiply
    53,892.64x = 80,689.92 × 27,540.64
  4. Step 4: Simplify right side
    53,892.64x = 2,222,252,038.35
  5. Step 5: Solve for x
    x = 2,222,252,038.35/53,892.64
  6. Step 6: Final answer
    x = 41,234.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.