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Finding the Fourth Proportional to 55,243.44, 76,234.50 and 31,042.44

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Solution

The fourth proportional to 55,243.44, 76,234.50 and 31,042.44 is: 42,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,243.44 : 76,234.50 = 31,042.44 : x
  2. Step 2: Convert to fraction form
    55,243.44/76,234.50 = 31,042.44/x
  3. Step 3: Cross multiply
    55,243.44x = 76,234.50 × 31,042.44
  4. Step 4: Simplify right side
    55,243.44x = 2,366,504,892.18
  5. Step 5: Solve for x
    x = 2,366,504,892.18/55,243.44
  6. Step 6: Final answer
    x = 42,837.75

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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.