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Finding the Fourth Proportional to 54,949.16, 82,219.50 and 32,774.60

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Solution

The fourth proportional to 54,949.16, 82,219.50 and 32,774.60 is: 49,040.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,949.16 : 82,219.50 = 32,774.60 : x
  2. Step 2: Convert to fraction form
    54,949.16/82,219.50 = 32,774.60/x
  3. Step 3: Cross multiply
    54,949.16x = 82,219.50 × 32,774.60
  4. Step 4: Simplify right side
    54,949.16x = 2,694,711,224.70
  5. Step 5: Solve for x
    x = 2,694,711,224.70/54,949.16
  6. Step 6: Final answer
    x = 49,040.08

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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.