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Finding the Fourth Proportional to 49,757.60, 68,665.38 and 27,096.23

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Solution

The fourth proportional to 49,757.60, 68,665.38 and 27,096.23 is: 37,392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,757.60 : 68,665.38 = 27,096.23 : x
  2. Step 2: Convert to fraction form
    49,757.60/68,665.38 = 27,096.23/x
  3. Step 3: Cross multiply
    49,757.60x = 68,665.38 × 27,096.23
  4. Step 4: Simplify right side
    49,757.60x = 1,860,572,929.52
  5. Step 5: Solve for x
    x = 1,860,572,929.52/49,757.60
  6. Step 6: Final answer
    x = 37,392.74

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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.