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Finding the Fourth Proportional to 83,900.75, 125,851.46 and 33,981.80

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Solution

The fourth proportional to 83,900.75, 125,851.46 and 33,981.80 is: 50,972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,900.75 : 125,851.46 = 33,981.80 : x
  2. Step 2: Convert to fraction form
    83,900.75/125,851.46 = 33,981.80/x
  3. Step 3: Cross multiply
    83,900.75x = 125,851.46 × 33,981.80
  4. Step 4: Simplify right side
    83,900.75x = 4,276,658,344.26
  5. Step 5: Solve for x
    x = 4,276,658,344.26/83,900.75
  6. Step 6: Final answer
    x = 50,972.83

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1.5x scale

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.