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Finding the Fourth Proportional to 50,497.80, 69,687.44 and 27,837.69

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Solution

The fourth proportional to 50,497.80, 69,687.44 and 27,837.69 is: 38,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,497.80 : 69,687.44 = 27,837.69 : x
  2. Step 2: Convert to fraction form
    50,497.80/69,687.44 = 27,837.69/x
  3. Step 3: Cross multiply
    50,497.80x = 69,687.44 × 27,837.69
  4. Step 4: Simplify right side
    50,497.80x = 1,939,937,351.61
  5. Step 5: Solve for x
    x = 1,939,937,351.61/50,497.80
  6. Step 6: Final answer
    x = 38,416.27

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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.