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Finding the Fourth Proportional to 38,413.82, 57,629.20 and 11,760.01

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Solution

The fourth proportional to 38,413.82, 57,629.20 and 11,760.01 is: 17,642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413.82 : 57,629.20 = 11,760.01 : x
  2. Step 2: Convert to fraction form
    38,413.82/57,629.20 = 11,760.01/x
  3. Step 3: Cross multiply
    38,413.82x = 57,629.20 × 11,760.01
  4. Step 4: Simplify right side
    38,413.82x = 677,720,096.93
  5. Step 5: Solve for x
    x = 677,720,096.93/38,413.82
  6. Step 6: Final answer
    x = 17,642.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.