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Finding the Fourth Proportional to 61,843.31, 85,343.94 and 33,549

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Solution

The fourth proportional to 61,843.31, 85,343.94 and 33,549 is: 46,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,843.31 : 85,343.94 = 33,549 : x
  2. Step 2: Convert to fraction form
    61,843.31/85,343.94 = 33,549/x
  3. Step 3: Cross multiply
    61,843.31x = 85,343.94 × 33,549
  4. Step 4: Simplify right side
    61,843.31x = 2,863,203,843.06
  5. Step 5: Solve for x
    x = 2,863,203,843.06/61,843.31
  6. Step 6: Final answer
    x = 46,297.71

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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.