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Finding the Fourth Proportional to 54,236.40, 74,850.38 and 31,269.96

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Solution

The fourth proportional to 54,236.40, 74,850.38 and 31,269.96 is: 43,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,236.40 : 74,850.38 = 31,269.96 : x
  2. Step 2: Convert to fraction form
    54,236.40/74,850.38 = 31,269.96/x
  3. Step 3: Cross multiply
    54,236.40x = 74,850.38 × 31,269.96
  4. Step 4: Simplify right side
    54,236.40x = 2,340,568,466.76
  5. Step 5: Solve for x
    x = 2,340,568,466.76/54,236.40
  6. Step 6: Final answer
    x = 43,154.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.