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Finding the Fourth Proportional to 38,211.49, 57,317.92 and 13,252.42

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Solution

The fourth proportional to 38,211.49, 57,317.92 and 13,252.42 is: 19,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,211.49 : 57,317.92 = 13,252.42 : x
  2. Step 2: Convert to fraction form
    38,211.49/57,317.92 = 13,252.42/x
  3. Step 3: Cross multiply
    38,211.49x = 57,317.92 × 13,252.42
  4. Step 4: Simplify right side
    38,211.49x = 759,601,149.37
  5. Step 5: Solve for x
    x = 759,601,149.37/38,211.49
  6. Step 6: Final answer
    x = 19,878.87

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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.