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Finding the Fourth Proportional to 33,651.86, 50,465.21 and 11,158.41

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Solution

The fourth proportional to 33,651.86, 50,465.21 and 11,158.41 is: 16,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,651.86 : 50,465.21 = 11,158.41 : x
  2. Step 2: Convert to fraction form
    33,651.86/50,465.21 = 11,158.41/x
  3. Step 3: Cross multiply
    33,651.86x = 50,465.21 × 11,158.41
  4. Step 4: Simplify right side
    33,651.86x = 563,111,463.34
  5. Step 5: Solve for x
    x = 563,111,463.34/33,651.86
  6. Step 6: Final answer
    x = 16,733.44

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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.