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Finding the Fourth Proportional to 72,069.84, 108,104.76 and 22,818

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Solution

The fourth proportional to 72,069.84, 108,104.76 and 22,818 is: 34,227

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,069.84 : 108,104.76 = 22,818 : x
  2. Step 2: Convert to fraction form
    72,069.84/108,104.76 = 22,818/x
  3. Step 3: Cross multiply
    72,069.84x = 108,104.76 × 22,818
  4. Step 4: Simplify right side
    72,069.84x = 2,466,734,413.68
  5. Step 5: Solve for x
    x = 2,466,734,413.68/72,069.84
  6. Step 6: Final answer
    x = 34,227

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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.