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Finding the Fourth Proportional to 38,144.34, 57,221.97 and 14,460.54

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Solution

The fourth proportional to 38,144.34, 57,221.97 and 14,460.54 is: 21,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,144.34 : 57,221.97 = 14,460.54 : x
  2. Step 2: Convert to fraction form
    38,144.34/57,221.97 = 14,460.54/x
  3. Step 3: Cross multiply
    38,144.34x = 57,221.97 × 14,460.54
  4. Step 4: Simplify right side
    38,144.34x = 827,460,586.06
  5. Step 5: Solve for x
    x = 827,460,586.06/38,144.34
  6. Step 6: Final answer
    x = 21,692.88

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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.