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Finding the Fourth Proportional to 33,214.72, 49,833.02 and 13,487.98

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Solution

The fourth proportional to 33,214.72, 49,833.02 and 13,487.98 is: 20,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214.72 : 49,833.02 = 13,487.98 : x
  2. Step 2: Convert to fraction form
    33,214.72/49,833.02 = 13,487.98/x
  3. Step 3: Cross multiply
    33,214.72x = 49,833.02 × 13,487.98
  4. Step 4: Simplify right side
    33,214.72x = 672,146,777.10
  5. Step 5: Solve for x
    x = 672,146,777.10/33,214.72
  6. Step 6: Final answer
    x = 20,236.41

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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.