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Finding the Fourth Proportional to 37,525.50, 51,786.16 and 22,622.46

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Solution

The fourth proportional to 37,525.50, 51,786.16 and 22,622.46 is: 31,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,525.50 : 51,786.16 = 22,622.46 : x
  2. Step 2: Convert to fraction form
    37,525.50/51,786.16 = 22,622.46/x
  3. Step 3: Cross multiply
    37,525.50x = 51,786.16 × 22,622.46
  4. Step 4: Simplify right side
    37,525.50x = 1,171,530,333.15
  5. Step 5: Solve for x
    x = 1,171,530,333.15/37,525.50
  6. Step 6: Final answer
    x = 31,219.58

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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.