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Finding the Fourth Proportional to 54,692.87, 82,050.30 and 17,258.72

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Solution

The fourth proportional to 54,692.87, 82,050.30 and 17,258.72 is: 25,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,692.87 : 82,050.30 = 17,258.72 : x
  2. Step 2: Convert to fraction form
    54,692.87/82,050.30 = 17,258.72/x
  3. Step 3: Cross multiply
    54,692.87x = 82,050.30 × 17,258.72
  4. Step 4: Simplify right side
    54,692.87x = 1,416,082,743.36
  5. Step 5: Solve for x
    x = 1,416,082,743.36/54,692.87
  6. Step 6: Final answer
    x = 25,891.54

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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.