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Finding the Fourth Proportional to 82,442.25, 113,770.31 and 46,631.49

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Solution

The fourth proportional to 82,442.25, 113,770.31 and 46,631.49 is: 64,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,442.25 : 113,770.31 = 46,631.49 : x
  2. Step 2: Convert to fraction form
    82,442.25/113,770.31 = 46,631.49/x
  3. Step 3: Cross multiply
    82,442.25x = 113,770.31 × 46,631.49
  4. Step 4: Simplify right side
    82,442.25x = 5,305,279,073.06
  5. Step 5: Solve for x
    x = 5,305,279,073.06/82,442.25
  6. Step 6: Final answer
    x = 64,351.46

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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.