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Finding the Fourth Proportional to 70,338.22, 105,516 and 22,940.63

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Solution

The fourth proportional to 70,338.22, 105,516 and 22,940.63 is: 34,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,338.22 : 105,516 = 22,940.63 : x
  2. Step 2: Convert to fraction form
    70,338.22/105,516 = 22,940.63/x
  3. Step 3: Cross multiply
    70,338.22x = 105,516 × 22,940.63
  4. Step 4: Simplify right side
    70,338.22x = 2,420,603,976.71
  5. Step 5: Solve for x
    x = 2,420,603,976.71/70,338.22
  6. Step 6: Final answer
    x = 34,413.78

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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.