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Finding the Fourth Proportional to 34,116.26, 51,164.67 and 21,617.42

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Solution

The fourth proportional to 34,116.26, 51,164.67 and 21,617.42 is: 32,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,116.26 : 51,164.67 = 21,617.42 : x
  2. Step 2: Convert to fraction form
    34,116.26/51,164.67 = 21,617.42/x
  3. Step 3: Cross multiply
    34,116.26x = 51,164.67 × 21,617.42
  4. Step 4: Simplify right side
    34,116.26x = 1,106,048,160.55
  5. Step 5: Solve for x
    x = 1,106,048,160.55/34,116.26
  6. Step 6: Final answer
    x = 32,419.97

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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.