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Finding the Fourth Proportional to 70,543.78, 105,850.27 and 33,106.90

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Solution

The fourth proportional to 70,543.78, 105,850.27 and 33,106.90 is: 49,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,543.78 : 105,850.27 = 33,106.90 : x
  2. Step 2: Convert to fraction form
    70,543.78/105,850.27 = 33,106.90/x
  3. Step 3: Cross multiply
    70,543.78x = 105,850.27 × 33,106.90
  4. Step 4: Simplify right side
    70,543.78x = 3,504,373,813.85
  5. Step 5: Solve for x
    x = 3,504,373,813.85/70,543.78
  6. Step 6: Final answer
    x = 49,676.58

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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.