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Finding the Fourth Proportional to 38,862, 53,629.56 and 21,198

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Solution

The fourth proportional to 38,862, 53,629.56 and 21,198 is: 29,253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862 : 53,629.56 = 21,198 : x
  2. Step 2: Convert to fraction form
    38,862/53,629.56 = 21,198/x
  3. Step 3: Cross multiply
    38,862x = 53,629.56 × 21,198
  4. Step 4: Simplify right side
    38,862x = 1,136,839,412.88
  5. Step 5: Solve for x
    x = 1,136,839,412.88/38,862
  6. Step 6: Final answer
    x = 29,253.24

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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.