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Finding the Fourth Proportional to 33,478.58, 50,221.71 and 10,106.42

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Solution

The fourth proportional to 33,478.58, 50,221.71 and 10,106.42 is: 15,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,478.58 : 50,221.71 = 10,106.42 : x
  2. Step 2: Convert to fraction form
    33,478.58/50,221.71 = 10,106.42/x
  3. Step 3: Cross multiply
    33,478.58x = 50,221.71 × 10,106.42
  4. Step 4: Simplify right side
    33,478.58x = 507,561,694.38
  5. Step 5: Solve for x
    x = 507,561,694.38/33,478.58
  6. Step 6: Final answer
    x = 15,160.79

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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.