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Finding the Fourth Proportional to 84,016, 115,942.08 and 46,290.24

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Solution

The fourth proportional to 84,016, 115,942.08 and 46,290.24 is: 63,880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,016 : 115,942.08 = 46,290.24 : x
  2. Step 2: Convert to fraction form
    84,016/115,942.08 = 46,290.24/x
  3. Step 3: Cross multiply
    84,016x = 115,942.08 × 46,290.24
  4. Step 4: Simplify right side
    84,016x = 5,366,986,709.30
  5. Step 5: Solve for x
    x = 5,366,986,709.30/84,016
  6. Step 6: Final answer
    x = 63,880.53

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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.