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Finding the Fourth Proportional to 51,042, 76,578.53 and 26,099.56

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Solution

The fourth proportional to 51,042, 76,578.53 and 26,099.56 is: 39,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,042 : 76,578.53 = 26,099.56 : x
  2. Step 2: Convert to fraction form
    51,042/76,578.53 = 26,099.56/x
  3. Step 3: Cross multiply
    51,042x = 76,578.53 × 26,099.56
  4. Step 4: Simplify right side
    51,042x = 1,998,665,616.50
  5. Step 5: Solve for x
    x = 1,998,665,616.50/51,042
  6. Step 6: Final answer
    x = 39,157.27

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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.