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Finding the Fourth Proportional to 83,873.74, 125,817.44 and 23,906.80

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Solution

The fourth proportional to 83,873.74, 125,817.44 and 23,906.80 is: 35,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,873.74 : 125,817.44 = 23,906.80 : x
  2. Step 2: Convert to fraction form
    83,873.74/125,817.44 = 23,906.80/x
  3. Step 3: Cross multiply
    83,873.74x = 125,817.44 × 23,906.80
  4. Step 4: Simplify right side
    83,873.74x = 3,007,892,374.59
  5. Step 5: Solve for x
    x = 3,007,892,374.59/83,873.74
  6. Step 6: Final answer
    x = 35,862.15

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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.