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Finding the Fourth Proportional to 49,736.49, 74,605.51 and 27,689.99

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Solution

The fourth proportional to 49,736.49, 74,605.51 and 27,689.99 is: 41,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,736.49 : 74,605.51 = 27,689.99 : x
  2. Step 2: Convert to fraction form
    49,736.49/74,605.51 = 27,689.99/x
  3. Step 3: Cross multiply
    49,736.49x = 74,605.51 × 27,689.99
  4. Step 4: Simplify right side
    49,736.49x = 2,065,825,825.84
  5. Step 5: Solve for x
    x = 2,065,825,825.84/49,736.49
  6. Step 6: Final answer
    x = 41,535.42

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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.