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Finding the Fourth Proportional to 49,245.84, 67,942.40 and 28,019.79

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Solution

The fourth proportional to 49,245.84, 67,942.40 and 28,019.79 is: 38,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,245.84 : 67,942.40 = 28,019.79 : x
  2. Step 2: Convert to fraction form
    49,245.84/67,942.40 = 28,019.79/x
  3. Step 3: Cross multiply
    49,245.84x = 67,942.40 × 28,019.79
  4. Step 4: Simplify right side
    49,245.84x = 1,903,731,640.00
  5. Step 5: Solve for x
    x = 1,903,731,640.00/49,245.84
  6. Step 6: Final answer
    x = 38,657.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.