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Finding the Fourth Proportional to 31,198.98, 46,793.34 and 9,007.56

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Solution

The fourth proportional to 31,198.98, 46,793.34 and 9,007.56 is: 13,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198.98 : 46,793.34 = 9,007.56 : x
  2. Step 2: Convert to fraction form
    31,198.98/46,793.34 = 9,007.56/x
  3. Step 3: Cross multiply
    31,198.98x = 46,793.34 × 9,007.56
  4. Step 4: Simplify right side
    31,198.98x = 421,493,817.65
  5. Step 5: Solve for x
    x = 421,493,817.65/31,198.98
  6. Step 6: Final answer
    x = 13,509.86

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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.