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Finding the Fourth Proportional to 37,538.54, 51,813.78 and 22,441.76

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Solution

The fourth proportional to 37,538.54, 51,813.78 and 22,441.76 is: 30,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,538.54 : 51,813.78 = 22,441.76 : x
  2. Step 2: Convert to fraction form
    37,538.54/51,813.78 = 22,441.76/x
  3. Step 3: Cross multiply
    37,538.54x = 51,813.78 × 22,441.76
  4. Step 4: Simplify right side
    37,538.54x = 1,162,792,415.45
  5. Step 5: Solve for x
    x = 1,162,792,415.45/37,538.54
  6. Step 6: Final answer
    x = 30,975.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.