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Finding the Fourth Proportional to 33,182.76, 49,772.34 and 13,456.02

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Solution

The fourth proportional to 33,182.76, 49,772.34 and 13,456.02 is: 20,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,182.76 : 49,772.34 = 13,456.02 : x
  2. Step 2: Convert to fraction form
    33,182.76/49,772.34 = 13,456.02/x
  3. Step 3: Cross multiply
    33,182.76x = 49,772.34 × 13,456.02
  4. Step 4: Simplify right side
    33,182.76x = 669,737,602.49
  5. Step 5: Solve for x
    x = 669,737,602.49/33,182.76
  6. Step 6: Final answer
    x = 20,183.30

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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.