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Finding the Fourth Proportional to 110,314.35, 165,481.65 and 34,413.30

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Solution

The fourth proportional to 110,314.35, 165,481.65 and 34,413.30 is: 51,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,314.35 : 165,481.65 = 34,413.30 : x
  2. Step 2: Convert to fraction form
    110,314.35/165,481.65 = 34,413.30/x
  3. Step 3: Cross multiply
    110,314.35x = 165,481.65 × 34,413.30
  4. Step 4: Simplify right side
    110,314.35x = 5,694,769,665.95
  5. Step 5: Solve for x
    x = 5,694,769,665.95/110,314.35
  6. Step 6: Final answer
    x = 51,623.11

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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.