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Finding the Fourth Proportional to 38,413.60, 57,620.40 and 31,415.20

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Solution

The fourth proportional to 38,413.60, 57,620.40 and 31,415.20 is: 47,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413.60 : 57,620.40 = 31,415.20 : x
  2. Step 2: Convert to fraction form
    38,413.60/57,620.40 = 31,415.20/x
  3. Step 3: Cross multiply
    38,413.60x = 57,620.40 × 31,415.20
  4. Step 4: Simplify right side
    38,413.60x = 1,810,156,390.08
  5. Step 5: Solve for x
    x = 1,810,156,390.08/38,413.60
  6. Step 6: Final answer
    x = 47,122.80

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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.