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Finding the Fourth Proportional to 37,194.12, 55,799.37 and 12,233.16

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Solution

The fourth proportional to 37,194.12, 55,799.37 and 12,233.16 is: 18,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,194.12 : 55,799.37 = 12,233.16 : x
  2. Step 2: Convert to fraction form
    37,194.12/55,799.37 = 12,233.16/x
  3. Step 3: Cross multiply
    37,194.12x = 55,799.37 × 12,233.16
  4. Step 4: Simplify right side
    37,194.12x = 682,602,621.11
  5. Step 5: Solve for x
    x = 682,602,621.11/37,194.12
  6. Step 6: Final answer
    x = 18,352.43

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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.