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Finding the Fourth Proportional to 37,914.27, 56,879.50 and 14,540.50

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Solution

The fourth proportional to 37,914.27, 56,879.50 and 14,540.50 is: 21,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,914.27 : 56,879.50 = 14,540.50 : x
  2. Step 2: Convert to fraction form
    37,914.27/56,879.50 = 14,540.50/x
  3. Step 3: Cross multiply
    37,914.27x = 56,879.50 × 14,540.50
  4. Step 4: Simplify right side
    37,914.27x = 827,056,369.75
  5. Step 5: Solve for x
    x = 827,056,369.75/37,914.27
  6. Step 6: Final answer
    x = 21,813.85

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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.