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Finding the Fourth Proportional to 53,736, 80,604.24 and 16,800

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Solution

The fourth proportional to 53,736, 80,604.24 and 16,800 is: 25,200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,736 : 80,604.24 = 16,800 : x
  2. Step 2: Convert to fraction form
    53,736/80,604.24 = 16,800/x
  3. Step 3: Cross multiply
    53,736x = 80,604.24 × 16,800
  4. Step 4: Simplify right side
    53,736x = 1,354,151,232
  5. Step 5: Solve for x
    x = 1,354,151,232/53,736
  6. Step 6: Final answer
    x = 25,200.08

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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.