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Finding the Fourth Proportional to 81,878.80, 122,801.40 and 22,699.60

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Solution

The fourth proportional to 81,878.80, 122,801.40 and 22,699.60 is: 34,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,878.80 : 122,801.40 = 22,699.60 : x
  2. Step 2: Convert to fraction form
    81,878.80/122,801.40 = 22,699.60/x
  3. Step 3: Cross multiply
    81,878.80x = 122,801.40 × 22,699.60
  4. Step 4: Simplify right side
    81,878.80x = 2,787,542,659.44
  5. Step 5: Solve for x
    x = 2,787,542,659.44/81,878.80
  6. Step 6: Final answer
    x = 34,044.74

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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.