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Finding the Fourth Proportional to 61,538, 84,922.44 and 33,243.70

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Solution

The fourth proportional to 61,538, 84,922.44 and 33,243.70 is: 45,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,538 : 84,922.44 = 33,243.70 : x
  2. Step 2: Convert to fraction form
    61,538/84,922.44 = 33,243.70/x
  3. Step 3: Cross multiply
    61,538x = 84,922.44 × 33,243.70
  4. Step 4: Simplify right side
    61,538x = 2,823,136,118.63
  5. Step 5: Solve for x
    x = 2,823,136,118.63/61,538
  6. Step 6: Final answer
    x = 45,876.31

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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.