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Finding the Fourth Proportional to 36,540.32, 54,814 and 10,244.96

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Solution

The fourth proportional to 36,540.32, 54,814 and 10,244.96 is: 15,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,540.32 : 54,814 = 10,244.96 : x
  2. Step 2: Convert to fraction form
    36,540.32/54,814 = 10,244.96/x
  3. Step 3: Cross multiply
    36,540.32x = 54,814 × 10,244.96
  4. Step 4: Simplify right side
    36,540.32x = 561,567,237.44
  5. Step 5: Solve for x
    x = 561,567,237.44/36,540.32
  6. Step 6: Final answer
    x = 15,368.43

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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.