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Finding the Fourth Proportional to 34,189.44, 47,169.12 and 20,766.24

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Solution

The fourth proportional to 34,189.44, 47,169.12 and 20,766.24 is: 28,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,189.44 : 47,169.12 = 20,766.24 : x
  2. Step 2: Convert to fraction form
    34,189.44/47,169.12 = 20,766.24/x
  3. Step 3: Cross multiply
    34,189.44x = 47,169.12 × 20,766.24
  4. Step 4: Simplify right side
    34,189.44x = 979,525,266.51
  5. Step 5: Solve for x
    x = 979,525,266.51/34,189.44
  6. Step 6: Final answer
    x = 28,649.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.