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Finding the Fourth Proportional to 61,233.24, 91,843.38 and 19,677

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Solution

The fourth proportional to 61,233.24, 91,843.38 and 19,677 is: 29,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,233.24 : 91,843.38 = 19,677 : x
  2. Step 2: Convert to fraction form
    61,233.24/91,843.38 = 19,677/x
  3. Step 3: Cross multiply
    61,233.24x = 91,843.38 × 19,677
  4. Step 4: Simplify right side
    61,233.24x = 1,807,202,188.26
  5. Step 5: Solve for x
    x = 1,807,202,188.26/61,233.24
  6. Step 6: Final answer
    x = 29,513.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.