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Finding the Fourth Proportional to 54,105, 74,664.75 and 30,231.70

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Solution

The fourth proportional to 54,105, 74,664.75 and 30,231.70 is: 41,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,105 : 74,664.75 = 30,231.70 : x
  2. Step 2: Convert to fraction form
    54,105/74,664.75 = 30,231.70/x
  3. Step 3: Cross multiply
    54,105x = 74,664.75 × 30,231.70
  4. Step 4: Simplify right side
    54,105x = 2,257,242,322.58
  5. Step 5: Solve for x
    x = 2,257,242,322.58/54,105
  6. Step 6: Final answer
    x = 41,719.66

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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.