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Finding the Fourth Proportional to 29,884.75, 41,227.10 and 19,277.80

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Solution

The fourth proportional to 29,884.75, 41,227.10 and 19,277.80 is: 26,594.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,884.75 : 41,227.10 = 19,277.80 : x
  2. Step 2: Convert to fraction form
    29,884.75/41,227.10 = 19,277.80/x
  3. Step 3: Cross multiply
    29,884.75x = 41,227.10 × 19,277.80
  4. Step 4: Simplify right side
    29,884.75x = 794,767,788.38
  5. Step 5: Solve for x
    x = 794,767,788.38/29,884.75
  6. Step 6: Final answer
    x = 26,594.43

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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.