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Finding the Fourth Proportional to 33,166.74, 49,717.34 and 13,432.80

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Solution

The fourth proportional to 33,166.74, 49,717.34 and 13,432.80 is: 20,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,166.74 : 49,717.34 = 13,432.80 : x
  2. Step 2: Convert to fraction form
    33,166.74/49,717.34 = 13,432.80/x
  3. Step 3: Cross multiply
    33,166.74x = 49,717.34 × 13,432.80
  4. Step 4: Simplify right side
    33,166.74x = 667,843,084.75
  5. Step 5: Solve for x
    x = 667,843,084.75/33,166.74
  6. Step 6: Final answer
    x = 20,135.93

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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.