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Finding the Fourth Proportional to 50,410.49, 69,565.92 and 27,749.00

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Solution

The fourth proportional to 50,410.49, 69,565.92 and 27,749.00 is: 38,293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,410.49 : 69,565.92 = 27,749.00 : x
  2. Step 2: Convert to fraction form
    50,410.49/69,565.92 = 27,749.00/x
  3. Step 3: Cross multiply
    50,410.49x = 69,565.92 × 27,749.00
  4. Step 4: Simplify right side
    50,410.49x = 1,930,384,548.72
  5. Step 5: Solve for x
    x = 1,930,384,548.72/50,410.49
  6. Step 6: Final answer
    x = 38,293.31

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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.