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Finding the Fourth Proportional to 37,211.65, 55,759.12 and 31,642.09

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Solution

The fourth proportional to 37,211.65, 55,759.12 and 31,642.09 is: 47,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,211.65 : 55,759.12 = 31,642.09 : x
  2. Step 2: Convert to fraction form
    37,211.65/55,759.12 = 31,642.09/x
  3. Step 3: Cross multiply
    37,211.65x = 55,759.12 × 31,642.09
  4. Step 4: Simplify right side
    37,211.65x = 1,764,335,093.36
  5. Step 5: Solve for x
    x = 1,764,335,093.36/37,211.65
  6. Step 6: Final answer
    x = 47,413.51

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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.