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Finding the Fourth Proportional to 36,714.96, 55,072.26 and 10,419.48

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Solution

The fourth proportional to 36,714.96, 55,072.26 and 10,419.48 is: 15,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,714.96 : 55,072.26 = 10,419.48 : x
  2. Step 2: Convert to fraction form
    36,714.96/55,072.26 = 10,419.48/x
  3. Step 3: Cross multiply
    36,714.96x = 55,072.26 × 10,419.48
  4. Step 4: Simplify right side
    36,714.96x = 573,824,311.62
  5. Step 5: Solve for x
    x = 573,824,311.62/36,714.96
  6. Step 6: Final answer
    x = 15,629.17

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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.