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Finding the Fourth Proportional to 37,814.67, 56,715.78 and 14,115.99

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Solution

The fourth proportional to 37,814.67, 56,715.78 and 14,115.99 is: 21,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,814.67 : 56,715.78 = 14,115.99 : x
  2. Step 2: Convert to fraction form
    37,814.67/56,715.78 = 14,115.99/x
  3. Step 3: Cross multiply
    37,814.67x = 56,715.78 × 14,115.99
  4. Step 4: Simplify right side
    37,814.67x = 800,599,383.32
  5. Step 5: Solve for x
    x = 800,599,383.32/37,814.67
  6. Step 6: Final answer
    x = 21,171.66

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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.