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Finding the Fourth Proportional to 38,492, 57,739.68 and 12,198.68

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Solution

The fourth proportional to 38,492, 57,739.68 and 12,198.68 is: 18,298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,492 : 57,739.68 = 12,198.68 : x
  2. Step 2: Convert to fraction form
    38,492/57,739.68 = 12,198.68/x
  3. Step 3: Cross multiply
    38,492x = 57,739.68 × 12,198.68
  4. Step 4: Simplify right side
    38,492x = 704,347,879.62
  5. Step 5: Solve for x
    x = 704,347,879.62/38,492
  6. Step 6: Final answer
    x = 18,298.55

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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.