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Finding the Fourth Proportional to 61,954, 85,493.32 and 33,658.96

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Solution

The fourth proportional to 61,954, 85,493.32 and 33,658.96 is: 46,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,954 : 85,493.32 = 33,658.96 : x
  2. Step 2: Convert to fraction form
    61,954/85,493.32 = 33,658.96/x
  3. Step 3: Cross multiply
    61,954x = 85,493.32 × 33,658.96
  4. Step 4: Simplify right side
    61,954x = 2,877,616,238.15
  5. Step 5: Solve for x
    x = 2,877,616,238.15/61,954
  6. Step 6: Final answer
    x = 46,447.63

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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.