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Finding the Fourth Proportional to 41,235.78, 56,951.73 and 27,783.48

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Solution

The fourth proportional to 41,235.78, 56,951.73 and 27,783.48 is: 38,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,235.78 : 56,951.73 = 27,783.48 : x
  2. Step 2: Convert to fraction form
    41,235.78/56,951.73 = 27,783.48/x
  3. Step 3: Cross multiply
    41,235.78x = 56,951.73 × 27,783.48
  4. Step 4: Simplify right side
    41,235.78x = 1,582,317,251.42
  5. Step 5: Solve for x
    x = 1,582,317,251.42/41,235.78
  6. Step 6: Final answer
    x = 38,372.43

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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.