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Finding the Fourth Proportional to 50,493.47, 69,685.00 and 27,836.51

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Solution

The fourth proportional to 50,493.47, 69,685.00 and 27,836.51 is: 38,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,493.47 : 69,685.00 = 27,836.51 : x
  2. Step 2: Convert to fraction form
    50,493.47/69,685.00 = 27,836.51/x
  3. Step 3: Cross multiply
    50,493.47x = 69,685.00 × 27,836.51
  4. Step 4: Simplify right side
    50,493.47x = 1,939,786,781.33
  5. Step 5: Solve for x
    x = 1,939,786,781.33/50,493.47
  6. Step 6: Final answer
    x = 38,416.59

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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.