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Finding the Fourth Proportional to 65,413.14, 98,134.32 and 23,860.14

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Solution

The fourth proportional to 65,413.14, 98,134.32 and 23,860.14 is: 35,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,413.14 : 98,134.32 = 23,860.14 : x
  2. Step 2: Convert to fraction form
    65,413.14/98,134.32 = 23,860.14/x
  3. Step 3: Cross multiply
    65,413.14x = 98,134.32 × 23,860.14
  4. Step 4: Simplify right side
    65,413.14x = 2,341,498,614.00
  5. Step 5: Solve for x
    x = 2,341,498,614.00/65,413.14
  6. Step 6: Final answer
    x = 35,795.54

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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.