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Finding the Fourth Proportional to 30,625.38, 42,266.26 and 19,447.38

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Solution

The fourth proportional to 30,625.38, 42,266.26 and 19,447.38 is: 26,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,625.38 : 42,266.26 = 19,447.38 : x
  2. Step 2: Convert to fraction form
    30,625.38/42,266.26 = 19,447.38/x
  3. Step 3: Cross multiply
    30,625.38x = 42,266.26 × 19,447.38
  4. Step 4: Simplify right side
    30,625.38x = 821,968,019.40
  5. Step 5: Solve for x
    x = 821,968,019.40/30,625.38
  6. Step 6: Final answer
    x = 26,839.44

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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.