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Finding the Fourth Proportional to 33,142.95, 49,713.21 and 8,182.80

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Solution

The fourth proportional to 33,142.95, 49,713.21 and 8,182.80 is: 12,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,142.95 : 49,713.21 = 8,182.80 : x
  2. Step 2: Convert to fraction form
    33,142.95/49,713.21 = 8,182.80/x
  3. Step 3: Cross multiply
    33,142.95x = 49,713.21 × 8,182.80
  4. Step 4: Simplify right side
    33,142.95x = 406,793,254.79
  5. Step 5: Solve for x
    x = 406,793,254.79/33,142.95
  6. Step 6: Final answer
    x = 12,273.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.