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Finding the Fourth Proportional to 65,506.38, 90,413.38 and 41,628.39

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Solution

The fourth proportional to 65,506.38, 90,413.38 and 41,628.39 is: 57,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,506.38 : 90,413.38 = 41,628.39 : x
  2. Step 2: Convert to fraction form
    65,506.38/90,413.38 = 41,628.39/x
  3. Step 3: Cross multiply
    65,506.38x = 90,413.38 × 41,628.39
  4. Step 4: Simplify right side
    65,506.38x = 3,763,763,443.86
  5. Step 5: Solve for x
    x = 3,763,763,443.86/65,506.38
  6. Step 6: Final answer
    x = 57,456.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.