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Finding the Fourth Proportional to 33,892.50, 46,771.65 and 20,644.50

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Solution

The fourth proportional to 33,892.50, 46,771.65 and 20,644.50 is: 28,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,892.50 : 46,771.65 = 20,644.50 : x
  2. Step 2: Convert to fraction form
    33,892.50/46,771.65 = 20,644.50/x
  3. Step 3: Cross multiply
    33,892.50x = 46,771.65 × 20,644.50
  4. Step 4: Simplify right side
    33,892.50x = 965,577,328.43
  5. Step 5: Solve for x
    x = 965,577,328.43/33,892.50
  6. Step 6: Final answer
    x = 28,489.41

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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.