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Finding the Fourth Proportional to 38,504.52, 57,735.18 and 18,741

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Solution

The fourth proportional to 38,504.52, 57,735.18 and 18,741 is: 28,100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,504.52 : 57,735.18 = 18,741 : x
  2. Step 2: Convert to fraction form
    38,504.52/57,735.18 = 18,741/x
  3. Step 3: Cross multiply
    38,504.52x = 57,735.18 × 18,741
  4. Step 4: Simplify right side
    38,504.52x = 1,082,015,008.38
  5. Step 5: Solve for x
    x = 1,082,015,008.38/38,504.52
  6. Step 6: Final answer
    x = 28,100.99

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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.