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Finding the Fourth Proportional to 54,772.50, 82,297.26 and 52,558.14

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Solution

The fourth proportional to 54,772.50, 82,297.26 and 52,558.14 is: 78,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,772.50 : 82,297.26 = 52,558.14 : x
  2. Step 2: Convert to fraction form
    54,772.50/82,297.26 = 52,558.14/x
  3. Step 3: Cross multiply
    54,772.50x = 82,297.26 × 52,558.14
  4. Step 4: Simplify right side
    54,772.50x = 4,325,390,912.70
  5. Step 5: Solve for x
    x = 4,325,390,912.70/54,772.50
  6. Step 6: Final answer
    x = 78,970.12

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Why These Related Problems?

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