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Finding the Fourth Proportional to 36,733.68, 50,692.68 and 21,627

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Solution

The fourth proportional to 36,733.68, 50,692.68 and 21,627 is: 29,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,733.68 : 50,692.68 = 21,627 : x
  2. Step 2: Convert to fraction form
    36,733.68/50,692.68 = 21,627/x
  3. Step 3: Cross multiply
    36,733.68x = 50,692.68 × 21,627
  4. Step 4: Simplify right side
    36,733.68x = 1,096,330,590.36
  5. Step 5: Solve for x
    x = 1,096,330,590.36/36,733.68
  6. Step 6: Final answer
    x = 29,845.38

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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.