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Finding the Fourth Proportional to 49,755.69, 74,662.70 and 35,700.57

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Solution

The fourth proportional to 49,755.69, 74,662.70 and 35,700.57 is: 53,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,755.69 : 74,662.70 = 35,700.57 : x
  2. Step 2: Convert to fraction form
    49,755.69/74,662.70 = 35,700.57/x
  3. Step 3: Cross multiply
    49,755.69x = 74,662.70 × 35,700.57
  4. Step 4: Simplify right side
    49,755.69x = 2,665,500,769.24
  5. Step 5: Solve for x
    x = 2,665,500,769.24/49,755.69
  6. Step 6: Final answer
    x = 53,571.78

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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.