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Finding the Fourth Proportional to 45,744.96, 68,560.92 and 27,006

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Solution

The fourth proportional to 45,744.96, 68,560.92 and 27,006 is: 40,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,744.96 : 68,560.92 = 27,006 : x
  2. Step 2: Convert to fraction form
    45,744.96/68,560.92 = 27,006/x
  3. Step 3: Cross multiply
    45,744.96x = 68,560.92 × 27,006
  4. Step 4: Simplify right side
    45,744.96x = 1,851,556,205.52
  5. Step 5: Solve for x
    x = 1,851,556,205.52/45,744.96
  6. Step 6: Final answer
    x = 40,475.63

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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.