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Finding the Fourth Proportional to 54,776.32, 82,198.50 and 35,069.02

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Solution

The fourth proportional to 54,776.32, 82,198.50 and 35,069.02 is: 52,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,776.32 : 82,198.50 = 35,069.02 : x
  2. Step 2: Convert to fraction form
    54,776.32/82,198.50 = 35,069.02/x
  3. Step 3: Cross multiply
    54,776.32x = 82,198.50 × 35,069.02
  4. Step 4: Simplify right side
    54,776.32x = 2,882,620,503.46
  5. Step 5: Solve for x
    x = 2,882,620,503.46/54,776.32
  6. Step 6: Final answer
    x = 52,625.31

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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.