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Finding the Fourth Proportional to 54,209.60, 81,313.80 and 14,766.44

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Solution

The fourth proportional to 54,209.60, 81,313.80 and 14,766.44 is: 22,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,209.60 : 81,313.80 = 14,766.44 : x
  2. Step 2: Convert to fraction form
    54,209.60/81,313.80 = 14,766.44/x
  3. Step 3: Cross multiply
    54,209.60x = 81,313.80 × 14,766.44
  4. Step 4: Simplify right side
    54,209.60x = 1,200,715,348.87
  5. Step 5: Solve for x
    x = 1,200,715,348.87/54,209.60
  6. Step 6: Final answer
    x = 22,149.50

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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.