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Finding the Fourth Proportional to 90,338.05, 135,538.52 and 40,423.42

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Solution

The fourth proportional to 90,338.05, 135,538.52 and 40,423.42 is: 60,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,338.05 : 135,538.52 = 40,423.42 : x
  2. Step 2: Convert to fraction form
    90,338.05/135,538.52 = 40,423.42/x
  3. Step 3: Cross multiply
    90,338.05x = 135,538.52 × 40,423.42
  4. Step 4: Simplify right side
    90,338.05x = 5,478,930,520.14
  5. Step 5: Solve for x
    x = 5,478,930,520.14/90,338.05
  6. Step 6: Final answer
    x = 60,649.20

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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.