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Finding the Fourth Proportional to 43,770.38, 60,414.05 and 24,918.44

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Solution

The fourth proportional to 43,770.38, 60,414.05 and 24,918.44 is: 34,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,770.38 : 60,414.05 = 24,918.44 : x
  2. Step 2: Convert to fraction form
    43,770.38/60,414.05 = 24,918.44/x
  3. Step 3: Cross multiply
    43,770.38x = 60,414.05 × 24,918.44
  4. Step 4: Simplify right side
    43,770.38x = 1,505,423,640.31
  5. Step 5: Solve for x
    x = 1,505,423,640.31/43,770.38
  6. Step 6: Final answer
    x = 34,393.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.