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Finding the Fourth Proportional to 37,379.26, 56,078.34 and 12,419.44

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Solution

The fourth proportional to 37,379.26, 56,078.34 and 12,419.44 is: 18,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,379.26 : 56,078.34 = 12,419.44 : x
  2. Step 2: Convert to fraction form
    37,379.26/56,078.34 = 12,419.44/x
  3. Step 3: Cross multiply
    37,379.26x = 56,078.34 × 12,419.44
  4. Step 4: Simplify right side
    37,379.26x = 696,461,578.93
  5. Step 5: Solve for x
    x = 696,461,578.93/37,379.26
  6. Step 6: Final answer
    x = 18,632.30

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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.