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Finding the Fourth Proportional to 30,202.25, 41,665.43 and 19,443.26

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Solution

The fourth proportional to 30,202.25, 41,665.43 and 19,443.26 is: 26,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.25 : 41,665.43 = 19,443.26 : x
  2. Step 2: Convert to fraction form
    30,202.25/41,665.43 = 19,443.26/x
  3. Step 3: Cross multiply
    30,202.25x = 41,665.43 × 19,443.26
  4. Step 4: Simplify right side
    30,202.25x = 810,111,691.29
  5. Step 5: Solve for x
    x = 810,111,691.29/30,202.25
  6. Step 6: Final answer
    x = 26,822.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.