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Finding the Fourth Proportional to 50,632.09, 69,866.25 and 27,969.71

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Solution

The fourth proportional to 50,632.09, 69,866.25 and 27,969.71 is: 38,594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,632.09 : 69,866.25 = 27,969.71 : x
  2. Step 2: Convert to fraction form
    50,632.09/69,866.25 = 27,969.71/x
  3. Step 3: Cross multiply
    50,632.09x = 69,866.25 × 27,969.71
  4. Step 4: Simplify right side
    50,632.09x = 1,954,138,297.07
  5. Step 5: Solve for x
    x = 1,954,138,297.07/50,632.09
  6. Step 6: Final answer
    x = 38,594.86

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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.