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Finding the Fourth Proportional to 83,968.60, 125,843.55 and 34,007.80

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Solution

The fourth proportional to 83,968.60, 125,843.55 and 34,007.80 is: 50,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,968.60 : 125,843.55 = 34,007.80 : x
  2. Step 2: Convert to fraction form
    83,968.60/125,843.55 = 34,007.80/x
  3. Step 3: Cross multiply
    83,968.60x = 125,843.55 × 34,007.80
  4. Step 4: Simplify right side
    83,968.60x = 4,279,662,279.69
  5. Step 5: Solve for x
    x = 4,279,662,279.69/83,968.60
  6. Step 6: Final answer
    x = 50,967.41

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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.