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Finding the Fourth Proportional to 61,893.94, 92,847.66 and 19,764.22

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Solution

The fourth proportional to 61,893.94, 92,847.66 and 19,764.22 is: 29,648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,893.94 : 92,847.66 = 19,764.22 : x
  2. Step 2: Convert to fraction form
    61,893.94/92,847.66 = 19,764.22/x
  3. Step 3: Cross multiply
    61,893.94x = 92,847.66 × 19,764.22
  4. Step 4: Simplify right side
    61,893.94x = 1,835,061,578.73
  5. Step 5: Solve for x
    x = 1,835,061,578.73/61,893.94
  6. Step 6: Final answer
    x = 29,648.49

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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.