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Finding the Fourth Proportional to 36,581, 50,481.96 and 19,814

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Solution

The fourth proportional to 36,581, 50,481.96 and 19,814 is: 27,343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,581 : 50,481.96 = 19,814 : x
  2. Step 2: Convert to fraction form
    36,581/50,481.96 = 19,814/x
  3. Step 3: Cross multiply
    36,581x = 50,481.96 × 19,814
  4. Step 4: Simplify right side
    36,581x = 1,000,249,555.44
  5. Step 5: Solve for x
    x = 1,000,249,555.44/36,581
  6. Step 6: Final answer
    x = 27,343.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.