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Finding the Fourth Proportional to 65,541, 98,286.48 and 23,413.24

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Solution

The fourth proportional to 65,541, 98,286.48 and 23,413.24 is: 35,110.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,541 : 98,286.48 = 23,413.24 : x
  2. Step 2: Convert to fraction form
    65,541/98,286.48 = 23,413.24/x
  3. Step 3: Cross multiply
    65,541x = 98,286.48 × 23,413.24
  4. Step 4: Simplify right side
    65,541x = 2,301,204,945.00
  5. Step 5: Solve for x
    x = 2,301,204,945.00/65,541
  6. Step 6: Final answer
    x = 35,110.92

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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.