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Finding the Fourth Proportional to 54,813.20, 82,252.20 and 19,748.30

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Solution

The fourth proportional to 54,813.20, 82,252.20 and 19,748.30 is: 29,634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,813.20 : 82,252.20 = 19,748.30 : x
  2. Step 2: Convert to fraction form
    54,813.20/82,252.20 = 19,748.30/x
  3. Step 3: Cross multiply
    54,813.20x = 82,252.20 × 19,748.30
  4. Step 4: Simplify right side
    54,813.20x = 1,624,341,121.26
  5. Step 5: Solve for x
    x = 1,624,341,121.26/54,813.20
  6. Step 6: Final answer
    x = 29,634.12

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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.