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Finding the Fourth Proportional to 49,691.75, 74,537.67 and 12,755.75

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Solution

The fourth proportional to 49,691.75, 74,537.67 and 12,755.75 is: 19,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,691.75 : 74,537.67 = 12,755.75 : x
  2. Step 2: Convert to fraction form
    49,691.75/74,537.67 = 12,755.75/x
  3. Step 3: Cross multiply
    49,691.75x = 74,537.67 × 12,755.75
  4. Step 4: Simplify right side
    49,691.75x = 950,783,884.10
  5. Step 5: Solve for x
    x = 950,783,884.10/49,691.75
  6. Step 6: Final answer
    x = 19,133.64

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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.