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Finding the Fourth Proportional to 29,471.56, 44,218.86 and 11,005

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Solution

The fourth proportional to 29,471.56, 44,218.86 and 11,005 is: 16,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,471.56 : 44,218.86 = 11,005 : x
  2. Step 2: Convert to fraction form
    29,471.56/44,218.86 = 11,005/x
  3. Step 3: Cross multiply
    29,471.56x = 44,218.86 × 11,005
  4. Step 4: Simplify right side
    29,471.56x = 486,628,554.30
  5. Step 5: Solve for x
    x = 486,628,554.30/29,471.56
  6. Step 6: Final answer
    x = 16,511.80

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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.