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Finding the Fourth Proportional to 135,633.69, 203,427.05 and 35,794.71

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Solution

The fourth proportional to 135,633.69, 203,427.05 and 35,794.71 is: 53,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,633.69 : 203,427.05 = 35,794.71 : x
  2. Step 2: Convert to fraction form
    135,633.69/203,427.05 = 35,794.71/x
  3. Step 3: Cross multiply
    135,633.69x = 203,427.05 × 35,794.71
  4. Step 4: Simplify right side
    135,633.69x = 7,281,612,081.93
  5. Step 5: Solve for x
    x = 7,281,612,081.93/135,633.69
  6. Step 6: Final answer
    x = 53,685.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.