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Finding the Fourth Proportional to 38,203.44, 57,271.32 and 31,183.44

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Solution

The fourth proportional to 38,203.44, 57,271.32 and 31,183.44 is: 46,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,203.44 : 57,271.32 = 31,183.44 : x
  2. Step 2: Convert to fraction form
    38,203.44/57,271.32 = 31,183.44/x
  3. Step 3: Cross multiply
    38,203.44x = 57,271.32 × 31,183.44
  4. Step 4: Simplify right side
    38,203.44x = 1,785,916,770.94
  5. Step 5: Solve for x
    x = 1,785,916,770.94/38,203.44
  6. Step 6: Final answer
    x = 46,747.54

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1.5x scale

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.