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Finding the Fourth Proportional to 36,778.50, 55,168.56 and 9,076.50

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Solution

The fourth proportional to 36,778.50, 55,168.56 and 9,076.50 is: 13,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,778.50 : 55,168.56 = 9,076.50 : x
  2. Step 2: Convert to fraction form
    36,778.50/55,168.56 = 9,076.50/x
  3. Step 3: Cross multiply
    36,778.50x = 55,168.56 × 9,076.50
  4. Step 4: Simplify right side
    36,778.50x = 500,737,434.84
  5. Step 5: Solve for x
    x = 500,737,434.84/36,778.50
  6. Step 6: Final answer
    x = 13,614.95

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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.