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Finding the Fourth Proportional to 54,300, 81,468.48 and 30,578.88

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Solution

The fourth proportional to 54,300, 81,468.48 and 30,578.88 is: 45,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,300 : 81,468.48 = 30,578.88 : x
  2. Step 2: Convert to fraction form
    54,300/81,468.48 = 30,578.88/x
  3. Step 3: Cross multiply
    54,300x = 81,468.48 × 30,578.88
  4. Step 4: Simplify right side
    54,300x = 2,491,214,873.70
  5. Step 5: Solve for x
    x = 2,491,214,873.70/54,300
  6. Step 6: Final answer
    x = 45,878.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.