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Finding the Fourth Proportional to 36,732.44, 55,076.76 and 14,549

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Solution

The fourth proportional to 36,732.44, 55,076.76 and 14,549 is: 21,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,732.44 : 55,076.76 = 14,549 : x
  2. Step 2: Convert to fraction form
    36,732.44/55,076.76 = 14,549/x
  3. Step 3: Cross multiply
    36,732.44x = 55,076.76 × 14,549
  4. Step 4: Simplify right side
    36,732.44x = 801,311,781.24
  5. Step 5: Solve for x
    x = 801,311,781.24/36,732.44
  6. Step 6: Final answer
    x = 21,814.83

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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.