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Finding the Fourth Proportional to 50,057, 69,080.84 and 27,701

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Solution

The fourth proportional to 50,057, 69,080.84 and 27,701 is: 38,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,057 : 69,080.84 = 27,701 : x
  2. Step 2: Convert to fraction form
    50,057/69,080.84 = 27,701/x
  3. Step 3: Cross multiply
    50,057x = 69,080.84 × 27,701
  4. Step 4: Simplify right side
    50,057x = 1,913,608,348.84
  5. Step 5: Solve for x
    x = 1,913,608,348.84/50,057
  6. Step 6: Final answer
    x = 38,228.59

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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.