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Finding the Fourth Proportional to 36,753.72, 55,138.82 and 11,796

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Solution

The fourth proportional to 36,753.72, 55,138.82 and 11,796 is: 17,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,753.72 : 55,138.82 = 11,796 : x
  2. Step 2: Convert to fraction form
    36,753.72/55,138.82 = 11,796/x
  3. Step 3: Cross multiply
    36,753.72x = 55,138.82 × 11,796
  4. Step 4: Simplify right side
    36,753.72x = 650,417,520.72
  5. Step 5: Solve for x
    x = 650,417,520.72/36,753.72
  6. Step 6: Final answer
    x = 17,696.64

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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.