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Finding the Fourth Proportional to 49,231.67, 73,871.60 and 30,506.70

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Solution

The fourth proportional to 49,231.67, 73,871.60 and 30,506.70 is: 45,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,231.67 : 73,871.60 = 30,506.70 : x
  2. Step 2: Convert to fraction form
    49,231.67/73,871.60 = 30,506.70/x
  3. Step 3: Cross multiply
    49,231.67x = 73,871.60 × 30,506.70
  4. Step 4: Simplify right side
    49,231.67x = 2,253,578,739.72
  5. Step 5: Solve for x
    x = 2,253,578,739.72/49,231.67
  6. Step 6: Final answer
    x = 45,774.98

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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.