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Finding the Fourth Proportional to 54,251.84, 74,866.56 and 30,378.24

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Solution

The fourth proportional to 54,251.84, 74,866.56 and 30,378.24 is: 41,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,251.84 : 74,866.56 = 30,378.24 : x
  2. Step 2: Convert to fraction form
    54,251.84/74,866.56 = 30,378.24/x
  3. Step 3: Cross multiply
    54,251.84x = 74,866.56 × 30,378.24
  4. Step 4: Simplify right side
    54,251.84x = 2,274,314,327.65
  5. Step 5: Solve for x
    x = 2,274,314,327.65/54,251.84
  6. Step 6: Final answer
    x = 41,921.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.