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Finding the Fourth Proportional to 38,105.85, 57,137.85 and 11,803.29

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Solution

The fourth proportional to 38,105.85, 57,137.85 and 11,803.29 is: 17,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,105.85 : 57,137.85 = 11,803.29 : x
  2. Step 2: Convert to fraction form
    38,105.85/57,137.85 = 11,803.29/x
  3. Step 3: Cross multiply
    38,105.85x = 57,137.85 × 11,803.29
  4. Step 4: Simplify right side
    38,105.85x = 674,414,613.53
  5. Step 5: Solve for x
    x = 674,414,613.53/38,105.85
  6. Step 6: Final answer
    x = 17,698.45

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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.