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Finding the Fourth Proportional to 42,197.38, 58,193.85 and 36,227.14

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Solution

The fourth proportional to 42,197.38, 58,193.85 and 36,227.14 is: 49,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,197.38 : 58,193.85 = 36,227.14 : x
  2. Step 2: Convert to fraction form
    42,197.38/58,193.85 = 36,227.14/x
  3. Step 3: Cross multiply
    42,197.38x = 58,193.85 × 36,227.14
  4. Step 4: Simplify right side
    42,197.38x = 2,108,196,751.09
  5. Step 5: Solve for x
    x = 2,108,196,751.09/42,197.38
  6. Step 6: Final answer
    x = 49,960.37

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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.