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Finding the Fourth Proportional to 34,057.44, 51,084.60 and 9,096.96

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Solution

The fourth proportional to 34,057.44, 51,084.60 and 9,096.96 is: 13,645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,057.44 : 51,084.60 = 9,096.96 : x
  2. Step 2: Convert to fraction form
    34,057.44/51,084.60 = 9,096.96/x
  3. Step 3: Cross multiply
    34,057.44x = 51,084.60 × 9,096.96
  4. Step 4: Simplify right side
    34,057.44x = 464,714,562.82
  5. Step 5: Solve for x
    x = 464,714,562.82/34,057.44
  6. Step 6: Final answer
    x = 13,645.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.