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Finding the Fourth Proportional to 50,431.44, 69,597.06 and 27,772.11

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Solution

The fourth proportional to 50,431.44, 69,597.06 and 27,772.11 is: 38,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,431.44 : 69,597.06 = 27,772.11 : x
  2. Step 2: Convert to fraction form
    50,431.44/69,597.06 = 27,772.11/x
  3. Step 3: Cross multiply
    50,431.44x = 69,597.06 × 27,772.11
  4. Step 4: Simplify right side
    50,431.44x = 1,932,857,206.00
  5. Step 5: Solve for x
    x = 1,932,857,206.00/50,431.44
  6. Step 6: Final answer
    x = 38,326.43

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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.