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Finding the Fourth Proportional to 33,212.72, 49,830.02 and 13,485.98

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Solution

The fourth proportional to 33,212.72, 49,830.02 and 13,485.98 is: 20,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,212.72 : 49,830.02 = 13,485.98 : x
  2. Step 2: Convert to fraction form
    33,212.72/49,830.02 = 13,485.98/x
  3. Step 3: Cross multiply
    33,212.72x = 49,830.02 × 13,485.98
  4. Step 4: Simplify right side
    33,212.72x = 672,006,653.12
  5. Step 5: Solve for x
    x = 672,006,653.12/33,212.72
  6. Step 6: Final answer
    x = 20,233.41

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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.