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Finding the Fourth Proportional to 84,065.88, 126,093.96 and 30,793.80

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Solution

The fourth proportional to 84,065.88, 126,093.96 and 30,793.80 is: 46,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,065.88 : 126,093.96 = 30,793.80 : x
  2. Step 2: Convert to fraction form
    84,065.88/126,093.96 = 30,793.80/x
  3. Step 3: Cross multiply
    84,065.88x = 126,093.96 × 30,793.80
  4. Step 4: Simplify right side
    84,065.88x = 3,882,912,185.45
  5. Step 5: Solve for x
    x = 3,882,912,185.45/84,065.88
  6. Step 6: Final answer
    x = 46,188.92

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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.