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Finding the Fourth Proportional to 36,578.86, 50,478.87 and 21,468.58

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Solution

The fourth proportional to 36,578.86, 50,478.87 and 21,468.58 is: 29,626.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,578.86 : 50,478.87 = 21,468.58 : x
  2. Step 2: Convert to fraction form
    36,578.86/50,478.87 = 21,468.58/x
  3. Step 3: Cross multiply
    36,578.86x = 50,478.87 × 21,468.58
  4. Step 4: Simplify right side
    36,578.86x = 1,083,709,658.90
  5. Step 5: Solve for x
    x = 1,083,709,658.90/36,578.86
  6. Step 6: Final answer
    x = 29,626.67

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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.