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Finding the Fourth Proportional to 29,709.14, 44,571.02 and 8,649.37

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Solution

The fourth proportional to 29,709.14, 44,571.02 and 8,649.37 is: 12,976.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709.14 : 44,571.02 = 8,649.37 : x
  2. Step 2: Convert to fraction form
    29,709.14/44,571.02 = 8,649.37/x
  3. Step 3: Cross multiply
    29,709.14x = 44,571.02 × 8,649.37
  4. Step 4: Simplify right side
    29,709.14x = 385,511,112.84
  5. Step 5: Solve for x
    x = 385,511,112.84/29,709.14
  6. Step 6: Final answer
    x = 12,976.18

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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.