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Finding the Fourth Proportional to 29,842.54, 41,181.90 and 16,413.80

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Solution

The fourth proportional to 29,842.54, 41,181.90 and 16,413.80 is: 22,650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842.54 : 41,181.90 = 16,413.80 : x
  2. Step 2: Convert to fraction form
    29,842.54/41,181.90 = 16,413.80/x
  3. Step 3: Cross multiply
    29,842.54x = 41,181.90 × 16,413.80
  4. Step 4: Simplify right side
    29,842.54x = 675,951,470.22
  5. Step 5: Solve for x
    x = 675,951,470.22/29,842.54
  6. Step 6: Final answer
    x = 22,650.60

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1.5x scale

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.