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Finding the Fourth Proportional to 50,447.64, 69,618.06 and 27,789.24

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Solution

The fourth proportional to 50,447.64, 69,618.06 and 27,789.24 is: 38,349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,447.64 : 69,618.06 = 27,789.24 : x
  2. Step 2: Convert to fraction form
    50,447.64/69,618.06 = 27,789.24/x
  3. Step 3: Cross multiply
    50,447.64x = 69,618.06 × 27,789.24
  4. Step 4: Simplify right side
    50,447.64x = 1,934,632,977.67
  5. Step 5: Solve for x
    x = 1,934,632,977.67/50,447.64
  6. Step 6: Final answer
    x = 38,349.33

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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.