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Finding the Fourth Proportional to 38,104.38, 57,160.38 and 13,141.14

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Solution

The fourth proportional to 38,104.38, 57,160.38 and 13,141.14 is: 19,713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,104.38 : 57,160.38 = 13,141.14 : x
  2. Step 2: Convert to fraction form
    38,104.38/57,160.38 = 13,141.14/x
  3. Step 3: Cross multiply
    38,104.38x = 57,160.38 × 13,141.14
  4. Step 4: Simplify right side
    38,104.38x = 751,152,556.03
  5. Step 5: Solve for x
    x = 751,152,556.03/38,104.38
  6. Step 6: Final answer
    x = 19,713.02

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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.