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Finding the Fourth Proportional to 49,224.93, 67,926.34 and 27,716.64

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Solution

The fourth proportional to 49,224.93, 67,926.34 and 27,716.64 is: 38,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,224.93 : 67,926.34 = 27,716.64 : x
  2. Step 2: Convert to fraction form
    49,224.93/67,926.34 = 27,716.64/x
  3. Step 3: Cross multiply
    49,224.93x = 67,926.34 × 27,716.64
  4. Step 4: Simplify right side
    49,224.93x = 1,882,689,720.49
  5. Step 5: Solve for x
    x = 1,882,689,720.49/49,224.93
  6. Step 6: Final answer
    x = 38,246.67

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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.