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Finding the Fourth Proportional to 39,458.38, 54,416.50 and 30,845.70

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Solution

The fourth proportional to 39,458.38, 54,416.50 and 30,845.70 is: 42,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,458.38 : 54,416.50 = 30,845.70 : x
  2. Step 2: Convert to fraction form
    39,458.38/54,416.50 = 30,845.70/x
  3. Step 3: Cross multiply
    39,458.38x = 54,416.50 × 30,845.70
  4. Step 4: Simplify right side
    39,458.38x = 1,678,515,034.05
  5. Step 5: Solve for x
    x = 1,678,515,034.05/39,458.38
  6. Step 6: Final answer
    x = 42,538.87

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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.