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Finding the Fourth Proportional to 36,076.84, 54,115.08 and 9,781.54

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Solution

The fourth proportional to 36,076.84, 54,115.08 and 9,781.54 is: 14,672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,076.84 : 54,115.08 = 9,781.54 : x
  2. Step 2: Convert to fraction form
    36,076.84/54,115.08 = 9,781.54/x
  3. Step 3: Cross multiply
    36,076.84x = 54,115.08 × 9,781.54
  4. Step 4: Simplify right side
    36,076.84x = 529,328,819.62
  5. Step 5: Solve for x
    x = 529,328,819.62/36,076.84
  6. Step 6: Final answer
    x = 14,672.26

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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.