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Finding the Fourth Proportional to 53,733, 80,599.86 and 16,797

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Solution

The fourth proportional to 53,733, 80,599.86 and 16,797 is: 25,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,733 : 80,599.86 = 16,797 : x
  2. Step 2: Convert to fraction form
    53,733/80,599.86 = 16,797/x
  3. Step 3: Cross multiply
    53,733x = 80,599.86 × 16,797
  4. Step 4: Simplify right side
    53,733x = 1,353,835,848.42
  5. Step 5: Solve for x
    x = 1,353,835,848.42/53,733
  6. Step 6: Final answer
    x = 25,195.61

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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.