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Finding the Fourth Proportional to 37,584.24, 51,830.46 and 22,474.46

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Solution

The fourth proportional to 37,584.24, 51,830.46 and 22,474.46 is: 30,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,584.24 : 51,830.46 = 22,474.46 : x
  2. Step 2: Convert to fraction form
    37,584.24/51,830.46 = 22,474.46/x
  3. Step 3: Cross multiply
    37,584.24x = 51,830.46 × 22,474.46
  4. Step 4: Simplify right side
    37,584.24x = 1,164,861,600.05
  5. Step 5: Solve for x
    x = 1,164,861,600.05/37,584.24
  6. Step 6: Final answer
    x = 30,993.35

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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.