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Finding the Fourth Proportional to 39,074.10, 53,922.31 and 21,169.10

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Solution

The fourth proportional to 39,074.10, 53,922.31 and 21,169.10 is: 29,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,074.10 : 53,922.31 = 21,169.10 : x
  2. Step 2: Convert to fraction form
    39,074.10/53,922.31 = 21,169.10/x
  3. Step 3: Cross multiply
    39,074.10x = 53,922.31 × 21,169.10
  4. Step 4: Simplify right side
    39,074.10x = 1,141,486,907.43
  5. Step 5: Solve for x
    x = 1,141,486,907.43/39,074.10
  6. Step 6: Final answer
    x = 29,213.39

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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.