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Finding the Fourth Proportional to 27,649,481.60, 41,505,715.20 and 16,296,327.20

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Solution

The fourth proportional to 27,649,481.60, 41,505,715.20 and 16,296,327.20 is: 24,463,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649,481.60 : 41,505,715.20 = 16,296,327.20 : x
  2. Step 2: Convert to fraction form
    27,649,481.60/41,505,715.20 = 16,296,327.20/x
  3. Step 3: Cross multiply
    27,649,481.60x = 41,505,715.20 × 16,296,327.20
  4. Step 4: Simplify right side
    27,649,481.60x = 676,390,715,569,213.50
  5. Step 5: Solve for x
    x = 676,390,715,569,213.50/27,649,481.60
  6. Step 6: Final answer
    x = 24,463,052.34

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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.