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Finding the Fourth Proportional to 89,806.14, 123,938.07 and 49,519.80

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Solution

The fourth proportional to 89,806.14, 123,938.07 and 49,519.80 is: 68,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,806.14 : 123,938.07 = 49,519.80 : x
  2. Step 2: Convert to fraction form
    89,806.14/123,938.07 = 49,519.80/x
  3. Step 3: Cross multiply
    89,806.14x = 123,938.07 × 49,519.80
  4. Step 4: Simplify right side
    89,806.14x = 6,137,388,438.79
  5. Step 5: Solve for x
    x = 6,137,388,438.79/89,806.14
  6. Step 6: Final answer
    x = 68,340.41

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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.