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Finding the Fourth Proportional to 37,480.74, 56,202 and 12,511.81

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Solution

The fourth proportional to 37,480.74, 56,202 and 12,511.81 is: 18,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,480.74 : 56,202 = 12,511.81 : x
  2. Step 2: Convert to fraction form
    37,480.74/56,202 = 12,511.81/x
  3. Step 3: Cross multiply
    37,480.74x = 56,202 × 12,511.81
  4. Step 4: Simplify right side
    37,480.74x = 703,188,745.62
  5. Step 5: Solve for x
    x = 703,188,745.62/37,480.74
  6. Step 6: Final answer
    x = 18,761.34

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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.