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Finding the Fourth Proportional to 51,863, 71,566.69 and 29,194.75

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Solution

The fourth proportional to 51,863, 71,566.69 and 29,194.75 is: 40,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,863 : 71,566.69 = 29,194.75 : x
  2. Step 2: Convert to fraction form
    51,863/71,566.69 = 29,194.75/x
  3. Step 3: Cross multiply
    51,863x = 71,566.69 × 29,194.75
  4. Step 4: Simplify right side
    51,863x = 2,089,371,119.07
  5. Step 5: Solve for x
    x = 2,089,371,119.07/51,863
  6. Step 6: Final answer
    x = 40,286.35

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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.