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Finding the Fourth Proportional to 45,756.96, 68,578.92 and 27,018

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Solution

The fourth proportional to 45,756.96, 68,578.92 and 27,018 is: 40,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,756.96 : 68,578.92 = 27,018 : x
  2. Step 2: Convert to fraction form
    45,756.96/68,578.92 = 27,018/x
  3. Step 3: Cross multiply
    45,756.96x = 68,578.92 × 27,018
  4. Step 4: Simplify right side
    45,756.96x = 1,852,865,260.56
  5. Step 5: Solve for x
    x = 1,852,865,260.56/45,756.96
  6. Step 6: Final answer
    x = 40,493.63

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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.