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Finding the Fourth Proportional to 36,578.88, 50,478.64 and 20,668.48

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Solution

The fourth proportional to 36,578.88, 50,478.64 and 20,668.48 is: 28,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,578.88 : 50,478.64 = 20,668.48 : x
  2. Step 2: Convert to fraction form
    36,578.88/50,478.64 = 20,668.48/x
  3. Step 3: Cross multiply
    36,578.88x = 50,478.64 × 20,668.48
  4. Step 4: Simplify right side
    36,578.88x = 1,043,316,761.27
  5. Step 5: Solve for x
    x = 1,043,316,761.27/36,578.88
  6. Step 6: Final answer
    x = 28,522.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.