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Finding the Fourth Proportional to 33,200.52, 49,818.06 and 13,493.64

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Solution

The fourth proportional to 33,200.52, 49,818.06 and 13,493.64 is: 20,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,200.52 : 49,818.06 = 13,493.64 : x
  2. Step 2: Convert to fraction form
    33,200.52/49,818.06 = 13,493.64/x
  3. Step 3: Cross multiply
    33,200.52x = 49,818.06 × 13,493.64
  4. Step 4: Simplify right side
    33,200.52x = 672,226,967.14
  5. Step 5: Solve for x
    x = 672,226,967.14/33,200.52
  6. Step 6: Final answer
    x = 20,247.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.