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Finding the Fourth Proportional to 37,147.67, 55,728.44 and 12,194.87

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Solution

The fourth proportional to 37,147.67, 55,728.44 and 12,194.87 is: 18,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,147.67 : 55,728.44 = 12,194.87 : x
  2. Step 2: Convert to fraction form
    37,147.67/55,728.44 = 12,194.87/x
  3. Step 3: Cross multiply
    37,147.67x = 55,728.44 × 12,194.87
  4. Step 4: Simplify right side
    37,147.67x = 679,600,832.95
  5. Step 5: Solve for x
    x = 679,600,832.95/37,147.67
  6. Step 6: Final answer
    x = 18,294.57

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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.