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Finding the Fourth Proportional to 54,195.36, 74,782.44 and 30,319.44

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Solution

The fourth proportional to 54,195.36, 74,782.44 and 30,319.44 is: 41,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,195.36 : 74,782.44 = 30,319.44 : x
  2. Step 2: Convert to fraction form
    54,195.36/74,782.44 = 30,319.44/x
  3. Step 3: Cross multiply
    54,195.36x = 74,782.44 × 30,319.44
  4. Step 4: Simplify right side
    54,195.36x = 2,267,361,702.63
  5. Step 5: Solve for x
    x = 2,267,361,702.63/54,195.36
  6. Step 6: Final answer
    x = 41,836.82

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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.