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Finding the Fourth Proportional to 38,115.66, 57,193 and 18,147.74

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Solution

The fourth proportional to 38,115.66, 57,193 and 18,147.74 is: 27,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,115.66 : 57,193 = 18,147.74 : x
  2. Step 2: Convert to fraction form
    38,115.66/57,193 = 18,147.74/x
  3. Step 3: Cross multiply
    38,115.66x = 57,193 × 18,147.74
  4. Step 4: Simplify right side
    38,115.66x = 1,037,923,693.82
  5. Step 5: Solve for x
    x = 1,037,923,693.82/38,115.66
  6. Step 6: Final answer
    x = 27,230.90

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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.