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Finding the Fourth Proportional to 36,099.96, 49,820.04 and 20,184

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Solution

The fourth proportional to 36,099.96, 49,820.04 and 20,184 is: 27,855.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,099.96 : 49,820.04 = 20,184 : x
  2. Step 2: Convert to fraction form
    36,099.96/49,820.04 = 20,184/x
  3. Step 3: Cross multiply
    36,099.96x = 49,820.04 × 20,184
  4. Step 4: Simplify right side
    36,099.96x = 1,005,567,687.36
  5. Step 5: Solve for x
    x = 1,005,567,687.36/36,099.96
  6. Step 6: Final answer
    x = 27,855.09

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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.