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Finding the Fourth Proportional to 54,713.70, 82,135.35 and 54,324.90

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Solution

The fourth proportional to 54,713.70, 82,135.35 and 54,324.90 is: 81,551.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,713.70 : 82,135.35 = 54,324.90 : x
  2. Step 2: Convert to fraction form
    54,713.70/82,135.35 = 54,324.90/x
  3. Step 3: Cross multiply
    54,713.70x = 82,135.35 × 54,324.90
  4. Step 4: Simplify right side
    54,713.70x = 4,461,994,675.22
  5. Step 5: Solve for x
    x = 4,461,994,675.22/54,713.70
  6. Step 6: Final answer
    x = 81,551.69

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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.