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Finding the Fourth Proportional to 38,209.49, 57,314.92 and 13,250.42

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Solution

The fourth proportional to 38,209.49, 57,314.92 and 13,250.42 is: 19,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.49 : 57,314.92 = 13,250.42 : x
  2. Step 2: Convert to fraction form
    38,209.49/57,314.92 = 13,250.42/x
  3. Step 3: Cross multiply
    38,209.49x = 57,314.92 × 13,250.42
  4. Step 4: Simplify right side
    38,209.49x = 759,446,872.43
  5. Step 5: Solve for x
    x = 759,446,872.43/38,209.49
  6. Step 6: Final answer
    x = 19,875.87

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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.