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Finding the Fourth Proportional to 61,716.96, 85,169.42 and 33,422.66

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Solution

The fourth proportional to 61,716.96, 85,169.42 and 33,422.66 is: 46,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,716.96 : 85,169.42 = 33,422.66 : x
  2. Step 2: Convert to fraction form
    61,716.96/85,169.42 = 33,422.66/x
  3. Step 3: Cross multiply
    61,716.96x = 85,169.42 × 33,422.66
  4. Step 4: Simplify right side
    61,716.96x = 2,846,587,974.10
  5. Step 5: Solve for x
    x = 2,846,587,974.10/61,716.96
  6. Step 6: Final answer
    x = 46,123.27

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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.