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Finding the Fourth Proportional to 54,969.83, 75,858.39 and 31,096

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Solution

The fourth proportional to 54,969.83, 75,858.39 and 31,096 is: 42,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,969.83 : 75,858.39 = 31,096 : x
  2. Step 2: Convert to fraction form
    54,969.83/75,858.39 = 31,096/x
  3. Step 3: Cross multiply
    54,969.83x = 75,858.39 × 31,096
  4. Step 4: Simplify right side
    54,969.83x = 2,358,892,495.44
  5. Step 5: Solve for x
    x = 2,358,892,495.44/54,969.83
  6. Step 6: Final answer
    x = 42,912.49

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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.