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Finding the Fourth Proportional to 37,194.24, 55,798.24 and 12,235.68

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Solution

The fourth proportional to 37,194.24, 55,798.24 and 12,235.68 is: 18,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,194.24 : 55,798.24 = 12,235.68 : x
  2. Step 2: Convert to fraction form
    37,194.24/55,798.24 = 12,235.68/x
  3. Step 3: Cross multiply
    37,194.24x = 55,798.24 × 12,235.68
  4. Step 4: Simplify right side
    37,194.24x = 682,729,409.20
  5. Step 5: Solve for x
    x = 682,729,409.20/37,194.24
  6. Step 6: Final answer
    x = 18,355.78

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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.