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Finding the Fourth Proportional to 57,049.26, 78,714.63 and 34,382.22

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Solution

The fourth proportional to 57,049.26, 78,714.63 and 34,382.22 is: 47,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,049.26 : 78,714.63 = 34,382.22 : x
  2. Step 2: Convert to fraction form
    57,049.26/78,714.63 = 34,382.22/x
  3. Step 3: Cross multiply
    57,049.26x = 78,714.63 × 34,382.22
  4. Step 4: Simplify right side
    57,049.26x = 2,706,383,725.88
  5. Step 5: Solve for x
    x = 2,706,383,725.88/57,049.26
  6. Step 6: Final answer
    x = 47,439.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.