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Finding the Fourth Proportional to 33,538.60, 50,315.15 and 10,166.80

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Solution

The fourth proportional to 33,538.60, 50,315.15 and 10,166.80 is: 15,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538.60 : 50,315.15 = 10,166.80 : x
  2. Step 2: Convert to fraction form
    33,538.60/50,315.15 = 10,166.80/x
  3. Step 3: Cross multiply
    33,538.60x = 50,315.15 × 10,166.80
  4. Step 4: Simplify right side
    33,538.60x = 511,543,840.86
  5. Step 5: Solve for x
    x = 511,543,840.86/33,538.60
  6. Step 6: Final answer
    x = 15,252.39

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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.