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Finding the Fourth Proportional to 54,801.87, 82,206.52 and 19,258.87

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Solution

The fourth proportional to 54,801.87, 82,206.52 and 19,258.87 is: 28,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,801.87 : 82,206.52 = 19,258.87 : x
  2. Step 2: Convert to fraction form
    54,801.87/82,206.52 = 19,258.87/x
  3. Step 3: Cross multiply
    54,801.87x = 82,206.52 × 19,258.87
  4. Step 4: Simplify right side
    54,801.87x = 1,583,204,380.02
  5. Step 5: Solve for x
    x = 1,583,204,380.02/54,801.87
  6. Step 6: Final answer
    x = 28,889.61

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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.