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Finding the Fourth Proportional to 36,481.68, 54,722.16 and 11,857.68

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Solution

The fourth proportional to 36,481.68, 54,722.16 and 11,857.68 is: 17,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,481.68 : 54,722.16 = 11,857.68 : x
  2. Step 2: Convert to fraction form
    36,481.68/54,722.16 = 11,857.68/x
  3. Step 3: Cross multiply
    36,481.68x = 54,722.16 × 11,857.68
  4. Step 4: Simplify right side
    36,481.68x = 648,877,862.19
  5. Step 5: Solve for x
    x = 648,877,862.19/36,481.68
  6. Step 6: Final answer
    x = 17,786.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.