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Finding the Fourth Proportional to 50,365.78, 69,502.64 and 27,703.34

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Solution

The fourth proportional to 50,365.78, 69,502.64 and 27,703.34 is: 38,229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,365.78 : 69,502.64 = 27,703.34 : x
  2. Step 2: Convert to fraction form
    50,365.78/69,502.64 = 27,703.34/x
  3. Step 3: Cross multiply
    50,365.78x = 69,502.64 × 27,703.34
  4. Step 4: Simplify right side
    50,365.78x = 1,925,454,850.05
  5. Step 5: Solve for x
    x = 1,925,454,850.05/50,365.78
  6. Step 6: Final answer
    x = 38,229.43

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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.