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Finding the Fourth Proportional to 109,893.89, 164,797.70 and 38,801.36

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Solution

The fourth proportional to 109,893.89, 164,797.70 and 38,801.36 is: 58,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,893.89 : 164,797.70 = 38,801.36 : x
  2. Step 2: Convert to fraction form
    109,893.89/164,797.70 = 38,801.36/x
  3. Step 3: Cross multiply
    109,893.89x = 164,797.70 × 38,801.36
  4. Step 4: Simplify right side
    109,893.89x = 6,394,374,884.87
  5. Step 5: Solve for x
    x = 6,394,374,884.87/109,893.89
  6. Step 6: Final answer
    x = 58,186.81

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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.