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Finding the Fourth Proportional to 39,302, 54,236.76 and 21,638

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Solution

The fourth proportional to 39,302, 54,236.76 and 21,638 is: 29,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,302 : 54,236.76 = 21,638 : x
  2. Step 2: Convert to fraction form
    39,302/54,236.76 = 21,638/x
  3. Step 3: Cross multiply
    39,302x = 54,236.76 × 21,638
  4. Step 4: Simplify right side
    39,302x = 1,173,575,012.88
  5. Step 5: Solve for x
    x = 1,173,575,012.88/39,302
  6. Step 6: Final answer
    x = 29,860.44

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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.