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Finding the Fourth Proportional to 33,598.42, 50,387.38 and 11,406.86

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Solution

The fourth proportional to 33,598.42, 50,387.38 and 11,406.86 is: 17,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,598.42 : 50,387.38 = 11,406.86 : x
  2. Step 2: Convert to fraction form
    33,598.42/50,387.38 = 11,406.86/x
  3. Step 3: Cross multiply
    33,598.42x = 50,387.38 × 11,406.86
  4. Step 4: Simplify right side
    33,598.42x = 574,761,789.43
  5. Step 5: Solve for x
    x = 574,761,789.43/33,598.42
  6. Step 6: Final answer
    x = 17,106.81

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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.