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Finding the Fourth Proportional to 49,007.98, 73,524.26 and 13,947.63

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Solution

The fourth proportional to 49,007.98, 73,524.26 and 13,947.63 is: 20,924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,007.98 : 73,524.26 = 13,947.63 : x
  2. Step 2: Convert to fraction form
    49,007.98/73,524.26 = 13,947.63/x
  3. Step 3: Cross multiply
    49,007.98x = 73,524.26 × 13,947.63
  4. Step 4: Simplify right side
    49,007.98x = 1,025,489,174.50
  5. Step 5: Solve for x
    x = 1,025,489,174.50/49,007.98
  6. Step 6: Final answer
    x = 20,924.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.