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Finding the Fourth Proportional to 50,512.99, 69,708.41 and 27,852.88

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Solution

The fourth proportional to 50,512.99, 69,708.41 and 27,852.88 is: 38,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,512.99 : 69,708.41 = 27,852.88 : x
  2. Step 2: Convert to fraction form
    50,512.99/69,708.41 = 27,852.88/x
  3. Step 3: Cross multiply
    50,512.99x = 69,708.41 × 27,852.88
  4. Step 4: Simplify right side
    50,512.99x = 1,941,580,161.74
  5. Step 5: Solve for x
    x = 1,941,580,161.74/50,512.99
  6. Step 6: Final answer
    x = 38,437.25

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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.