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Finding the Fourth Proportional to 69,682.24, 96,096 and 53,741.44

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Solution

The fourth proportional to 69,682.24, 96,096 and 53,741.44 is: 74,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,682.24 : 96,096 = 53,741.44 : x
  2. Step 2: Convert to fraction form
    69,682.24/96,096 = 53,741.44/x
  3. Step 3: Cross multiply
    69,682.24x = 96,096 × 53,741.44
  4. Step 4: Simplify right side
    69,682.24x = 5,164,337,418.24
  5. Step 5: Solve for x
    x = 5,164,337,418.24/69,682.24
  6. Step 6: Final answer
    x = 74,112.68

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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.