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Finding the Fourth Proportional to 81,464.80, 122,197.37 and 34,717.68

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Solution

The fourth proportional to 81,464.80, 122,197.37 and 34,717.68 is: 52,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,464.80 : 122,197.37 = 34,717.68 : x
  2. Step 2: Convert to fraction form
    81,464.80/122,197.37 = 34,717.68/x
  3. Step 3: Cross multiply
    81,464.80x = 122,197.37 × 34,717.68
  4. Step 4: Simplify right side
    81,464.80x = 4,242,408,743.50
  5. Step 5: Solve for x
    x = 4,242,408,743.50/81,464.80
  6. Step 6: Final answer
    x = 52,076.59

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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.