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Finding the Fourth Proportional to 57,893.82, 86,777.38 and 29,815.58

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Solution

The fourth proportional to 57,893.82, 86,777.38 and 29,815.58 is: 44,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,893.82 : 86,777.38 = 29,815.58 : x
  2. Step 2: Convert to fraction form
    57,893.82/86,777.38 = 29,815.58/x
  3. Step 3: Cross multiply
    57,893.82x = 86,777.38 × 29,815.58
  4. Step 4: Simplify right side
    57,893.82x = 2,587,317,915.58
  5. Step 5: Solve for x
    x = 2,587,317,915.58/57,893.82
  6. Step 6: Final answer
    x = 44,690.74

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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.