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Finding the Fourth Proportional to 50,519.49, 69,713.67 and 27,858.63

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Solution

The fourth proportional to 50,519.49, 69,713.67 and 27,858.63 is: 38,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,519.49 : 69,713.67 = 27,858.63 : x
  2. Step 2: Convert to fraction form
    50,519.49/69,713.67 = 27,858.63/x
  3. Step 3: Cross multiply
    50,519.49x = 69,713.67 × 27,858.63
  4. Step 4: Simplify right side
    50,519.49x = 1,942,127,181.52
  5. Step 5: Solve for x
    x = 1,942,127,181.52/50,519.49
  6. Step 6: Final answer
    x = 38,443.13

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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.