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Finding the Fourth Proportional to 29,183.44, 43,779.48 and 10,714

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Solution

The fourth proportional to 29,183.44, 43,779.48 and 10,714 is: 16,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,183.44 : 43,779.48 = 10,714 : x
  2. Step 2: Convert to fraction form
    29,183.44/43,779.48 = 10,714/x
  3. Step 3: Cross multiply
    29,183.44x = 43,779.48 × 10,714
  4. Step 4: Simplify right side
    29,183.44x = 469,053,348.72
  5. Step 5: Solve for x
    x = 469,053,348.72/29,183.44
  6. Step 6: Final answer
    x = 16,072.59

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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.