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Finding the Fourth Proportional to 50,512.76, 69,708.09 and 27,852.65

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Solution

The fourth proportional to 50,512.76, 69,708.09 and 27,852.65 is: 38,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,512.76 : 69,708.09 = 27,852.65 : x
  2. Step 2: Convert to fraction form
    50,512.76/69,708.09 = 27,852.65/x
  3. Step 3: Cross multiply
    50,512.76x = 69,708.09 × 27,852.65
  4. Step 4: Simplify right side
    50,512.76x = 1,941,555,032.94
  5. Step 5: Solve for x
    x = 1,941,555,032.94/50,512.76
  6. Step 6: Final answer
    x = 38,436.92

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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.