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Finding the Fourth Proportional to 34,224.95, 51,212.52 and 20,191.70

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Solution

The fourth proportional to 34,224.95, 51,212.52 and 20,191.70 is: 30,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,224.95 : 51,212.52 = 20,191.70 : x
  2. Step 2: Convert to fraction form
    34,224.95/51,212.52 = 20,191.70/x
  3. Step 3: Cross multiply
    34,224.95x = 51,212.52 × 20,191.70
  4. Step 4: Simplify right side
    34,224.95x = 1,034,067,584.02
  5. Step 5: Solve for x
    x = 1,034,067,584.02/34,224.95
  6. Step 6: Final answer
    x = 30,213.86

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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.