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Finding the Fourth Proportional to 38,442.36, 57,676.50 and 38,183.16

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Solution

The fourth proportional to 38,442.36, 57,676.50 and 38,183.16 is: 57,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.36 : 57,676.50 = 38,183.16 : x
  2. Step 2: Convert to fraction form
    38,442.36/57,676.50 = 38,183.16/x
  3. Step 3: Cross multiply
    38,442.36x = 57,676.50 × 38,183.16
  4. Step 4: Simplify right side
    38,442.36x = 2,202,271,027.74
  5. Step 5: Solve for x
    x = 2,202,271,027.74/38,442.36
  6. Step 6: Final answer
    x = 57,287.61

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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.