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Finding the Fourth Proportional to 29,709.38, 44,571.05 and 8,649.87

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Solution

The fourth proportional to 29,709.38, 44,571.05 and 8,649.87 is: 12,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709.38 : 44,571.05 = 8,649.87 : x
  2. Step 2: Convert to fraction form
    29,709.38/44,571.05 = 8,649.87/x
  3. Step 3: Cross multiply
    29,709.38x = 44,571.05 × 8,649.87
  4. Step 4: Simplify right side
    29,709.38x = 385,533,745.01
  5. Step 5: Solve for x
    x = 385,533,745.01/29,709.38
  6. Step 6: Final answer
    x = 12,976.84

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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.