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Finding the Fourth Proportional to 54,057, 74,589.76 and 30,179.84

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Solution

The fourth proportional to 54,057, 74,589.76 and 30,179.84 is: 41,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,057 : 74,589.76 = 30,179.84 : x
  2. Step 2: Convert to fraction form
    54,057/74,589.76 = 30,179.84/x
  3. Step 3: Cross multiply
    54,057x = 74,589.76 × 30,179.84
  4. Step 4: Simplify right side
    54,057x = 2,251,107,022.44
  5. Step 5: Solve for x
    x = 2,251,107,022.44/54,057
  6. Step 6: Final answer
    x = 41,643.21

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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.