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Finding the Fourth Proportional to 33,160.76, 49,725.54 and 13,424.30

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Solution

The fourth proportional to 33,160.76, 49,725.54 and 13,424.30 is: 20,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,160.76 : 49,725.54 = 13,424.30 : x
  2. Step 2: Convert to fraction form
    33,160.76/49,725.54 = 13,424.30/x
  3. Step 3: Cross multiply
    33,160.76x = 49,725.54 × 13,424.30
  4. Step 4: Simplify right side
    33,160.76x = 667,530,566.62
  5. Step 5: Solve for x
    x = 667,530,566.62/33,160.76
  6. Step 6: Final answer
    x = 20,130.13

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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.