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Finding the Fourth Proportional to 85,396.82, 128,096.75 and 26,233

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Solution

The fourth proportional to 85,396.82, 128,096.75 and 26,233 is: 39,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,396.82 : 128,096.75 = 26,233 : x
  2. Step 2: Convert to fraction form
    85,396.82/128,096.75 = 26,233/x
  3. Step 3: Cross multiply
    85,396.82x = 128,096.75 × 26,233
  4. Step 4: Simplify right side
    85,396.82x = 3,360,362,042.75
  5. Step 5: Solve for x
    x = 3,360,362,042.75/85,396.82
  6. Step 6: Final answer
    x = 39,349.97

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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.