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Finding the Fourth Proportional to 50,502.43, 69,693.84 and 27,842.33

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Solution

The fourth proportional to 50,502.43, 69,693.84 and 27,842.33 is: 38,422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,502.43 : 69,693.84 = 27,842.33 : x
  2. Step 2: Convert to fraction form
    50,502.43/69,693.84 = 27,842.33/x
  3. Step 3: Cross multiply
    50,502.43x = 69,693.84 × 27,842.33
  4. Step 4: Simplify right side
    50,502.43x = 1,940,438,543.78
  5. Step 5: Solve for x
    x = 1,940,438,543.78/50,502.43
  6. Step 6: Final answer
    x = 38,422.68

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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.