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Finding the Fourth Proportional to 31,106, 46,659 and 19,413.20

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Solution

The fourth proportional to 31,106, 46,659 and 19,413.20 is: 29,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106 : 46,659 = 19,413.20 : x
  2. Step 2: Convert to fraction form
    31,106/46,659 = 19,413.20/x
  3. Step 3: Cross multiply
    31,106x = 46,659 × 19,413.20
  4. Step 4: Simplify right side
    31,106x = 905,800,498.80
  5. Step 5: Solve for x
    x = 905,800,498.80/31,106
  6. Step 6: Final answer
    x = 29,119.80

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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.