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Finding the Fourth Proportional to 51,642.25, 71,266.31 and 29,286.25

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Solution

The fourth proportional to 51,642.25, 71,266.31 and 29,286.25 is: 40,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,642.25 : 71,266.31 = 29,286.25 : x
  2. Step 2: Convert to fraction form
    51,642.25/71,266.31 = 29,286.25/x
  3. Step 3: Cross multiply
    51,642.25x = 71,266.31 × 29,286.25
  4. Step 4: Simplify right side
    51,642.25x = 2,087,122,971.24
  5. Step 5: Solve for x
    x = 2,087,122,971.24/51,642.25
  6. Step 6: Final answer
    x = 40,415.03

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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.