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Finding the Fourth Proportional to 81,855.83, 122,830.83 and 34,467.19

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Solution

The fourth proportional to 81,855.83, 122,830.83 and 34,467.19 is: 51,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,855.83 : 122,830.83 = 34,467.19 : x
  2. Step 2: Convert to fraction form
    81,855.83/122,830.83 = 34,467.19/x
  3. Step 3: Cross multiply
    81,855.83x = 122,830.83 × 34,467.19
  4. Step 4: Simplify right side
    81,855.83x = 4,233,633,248.39
  5. Step 5: Solve for x
    x = 4,233,633,248.39/81,855.83
  6. Step 6: Final answer
    x = 51,720.61

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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.