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Finding the Fourth Proportional to 38,102.96, 57,133.56 and 11,800.40

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Solution

The fourth proportional to 38,102.96, 57,133.56 and 11,800.40 is: 17,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.96 : 57,133.56 = 11,800.40 : x
  2. Step 2: Convert to fraction form
    38,102.96/57,133.56 = 11,800.40/x
  3. Step 3: Cross multiply
    38,102.96x = 57,133.56 × 11,800.40
  4. Step 4: Simplify right side
    38,102.96x = 674,198,861.42
  5. Step 5: Solve for x
    x = 674,198,861.42/38,102.96
  6. Step 6: Final answer
    x = 17,694.13

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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.