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Finding the Fourth Proportional to 34,346.96, 47,413.38 and 22,420.52

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Solution

The fourth proportional to 34,346.96, 47,413.38 and 22,420.52 is: 30,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,346.96 : 47,413.38 = 22,420.52 : x
  2. Step 2: Convert to fraction form
    34,346.96/47,413.38 = 22,420.52/x
  3. Step 3: Cross multiply
    34,346.96x = 47,413.38 × 22,420.52
  4. Step 4: Simplify right side
    34,346.96x = 1,063,032,634.56
  5. Step 5: Solve for x
    x = 1,063,032,634.56/34,346.96
  6. Step 6: Final answer
    x = 30,949.83

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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.