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Finding the Fourth Proportional to 69,446.72, 104,184.48 and 27,896.96

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Solution

The fourth proportional to 69,446.72, 104,184.48 and 27,896.96 is: 41,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,446.72 : 104,184.48 = 27,896.96 : x
  2. Step 2: Convert to fraction form
    69,446.72/104,184.48 = 27,896.96/x
  3. Step 3: Cross multiply
    69,446.72x = 104,184.48 × 27,896.96
  4. Step 4: Simplify right side
    69,446.72x = 2,906,430,271.18
  5. Step 5: Solve for x
    x = 2,906,430,271.18/69,446.72
  6. Step 6: Final answer
    x = 41,851.22

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Why These Related Problems?

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