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Finding the Fourth Proportional to 30,733.88, 42,413.60 and 18,797

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Solution

The fourth proportional to 30,733.88, 42,413.60 and 18,797 is: 25,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,733.88 : 42,413.60 = 18,797 : x
  2. Step 2: Convert to fraction form
    30,733.88/42,413.60 = 18,797/x
  3. Step 3: Cross multiply
    30,733.88x = 42,413.60 × 18,797
  4. Step 4: Simplify right side
    30,733.88x = 797,248,439.20
  5. Step 5: Solve for x
    x = 797,248,439.20/30,733.88
  6. Step 6: Final answer
    x = 25,940.38

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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.