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Finding the Fourth Proportional to 65,464.62, 98,105.41 and 35,413.99

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Solution

The fourth proportional to 65,464.62, 98,105.41 and 35,413.99 is: 53,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,464.62 : 98,105.41 = 35,413.99 : x
  2. Step 2: Convert to fraction form
    65,464.62/98,105.41 = 35,413.99/x
  3. Step 3: Cross multiply
    65,464.62x = 98,105.41 × 35,413.99
  4. Step 4: Simplify right side
    65,464.62x = 3,474,303,341.09
  5. Step 5: Solve for x
    x = 3,474,303,341.09/65,464.62
  6. Step 6: Final answer
    x = 53,071.47

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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.