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Finding the Fourth Proportional to 53,644.35, 80,474.04 and 16,200.18

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Solution

The fourth proportional to 53,644.35, 80,474.04 and 16,200.18 is: 24,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,644.35 : 80,474.04 = 16,200.18 : x
  2. Step 2: Convert to fraction form
    53,644.35/80,474.04 = 16,200.18/x
  3. Step 3: Cross multiply
    53,644.35x = 80,474.04 × 16,200.18
  4. Step 4: Simplify right side
    53,644.35x = 1,303,693,933.33
  5. Step 5: Solve for x
    x = 1,303,693,933.33/53,644.35
  6. Step 6: Final answer
    x = 24,302.54

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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.