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Finding the Fourth Proportional to 49,571.70, 74,357.70 and 34,846.50

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Solution

The fourth proportional to 49,571.70, 74,357.70 and 34,846.50 is: 52,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,571.70 : 74,357.70 = 34,846.50 : x
  2. Step 2: Convert to fraction form
    49,571.70/74,357.70 = 34,846.50/x
  3. Step 3: Cross multiply
    49,571.70x = 74,357.70 × 34,846.50
  4. Step 4: Simplify right side
    49,571.70x = 2,591,105,593.05
  5. Step 5: Solve for x
    x = 2,591,105,593.05/49,571.70
  6. Step 6: Final answer
    x = 52,269.86

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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.