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Finding the Fourth Proportional to 54,522.50, 81,794.72 and 19,461.24

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Solution

The fourth proportional to 54,522.50, 81,794.72 and 19,461.24 is: 29,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,522.50 : 81,794.72 = 19,461.24 : x
  2. Step 2: Convert to fraction form
    54,522.50/81,794.72 = 19,461.24/x
  3. Step 3: Cross multiply
    54,522.50x = 81,794.72 × 19,461.24
  4. Step 4: Simplify right side
    54,522.50x = 1,591,826,725.31
  5. Step 5: Solve for x
    x = 1,591,826,725.31/54,522.50
  6. Step 6: Final answer
    x = 29,195.78

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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.