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Finding the Fourth Proportional to 65,450.16, 98,146.08 and 23,868

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Solution

The fourth proportional to 65,450.16, 98,146.08 and 23,868 is: 35,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,450.16 : 98,146.08 = 23,868 : x
  2. Step 2: Convert to fraction form
    65,450.16/98,146.08 = 23,868/x
  3. Step 3: Cross multiply
    65,450.16x = 98,146.08 × 23,868
  4. Step 4: Simplify right side
    65,450.16x = 2,342,550,637.44
  5. Step 5: Solve for x
    x = 2,342,550,637.44/65,450.16
  6. Step 6: Final answer
    x = 35,791.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.