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Finding the Fourth Proportional to 38,413.88, 57,620.24 and 23,425.40

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Solution

The fourth proportional to 38,413.88, 57,620.24 and 23,425.40 is: 35,137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413.88 : 57,620.24 = 23,425.40 : x
  2. Step 2: Convert to fraction form
    38,413.88/57,620.24 = 23,425.40/x
  3. Step 3: Cross multiply
    38,413.88x = 57,620.24 × 23,425.40
  4. Step 4: Simplify right side
    38,413.88x = 1,349,777,170.10
  5. Step 5: Solve for x
    x = 1,349,777,170.10/38,413.88
  6. Step 6: Final answer
    x = 35,137.75

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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.