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Finding the Fourth Proportional to 53,893.92, 80,849.94 and 24,311.04

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Solution

The fourth proportional to 53,893.92, 80,849.94 and 24,311.04 is: 36,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,893.92 : 80,849.94 = 24,311.04 : x
  2. Step 2: Convert to fraction form
    53,893.92/80,849.94 = 24,311.04/x
  3. Step 3: Cross multiply
    53,893.92x = 80,849.94 × 24,311.04
  4. Step 4: Simplify right side
    53,893.92x = 1,965,546,125.34
  5. Step 5: Solve for x
    x = 1,965,546,125.34/53,893.92
  6. Step 6: Final answer
    x = 36,470.65

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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.