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Finding the Fourth Proportional to 110,413.70, 165,629.55 and 47,234.30

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Solution

The fourth proportional to 110,413.70, 165,629.55 and 47,234.30 is: 70,855.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,413.70 : 165,629.55 = 47,234.30 : x
  2. Step 2: Convert to fraction form
    110,413.70/165,629.55 = 47,234.30/x
  3. Step 3: Cross multiply
    110,413.70x = 165,629.55 × 47,234.30
  4. Step 4: Simplify right side
    110,413.70x = 7,823,395,853.57
  5. Step 5: Solve for x
    x = 7,823,395,853.57/110,413.70
  6. Step 6: Final answer
    x = 70,855.30

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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.