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Finding the Fourth Proportional to 51,864, 71,568.06 and 29,195.75

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Solution

The fourth proportional to 51,864, 71,568.06 and 29,195.75 is: 40,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,864 : 71,568.06 = 29,195.75 : x
  2. Step 2: Convert to fraction form
    51,864/71,568.06 = 29,195.75/x
  3. Step 3: Cross multiply
    51,864x = 71,568.06 × 29,195.75
  4. Step 4: Simplify right side
    51,864x = 2,089,483,187.75
  5. Step 5: Solve for x
    x = 2,089,483,187.75/51,864
  6. Step 6: Final answer
    x = 40,287.74

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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.