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Finding the Fourth Proportional to 42,322.26, 58,401.57 and 23,198.97

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Solution

The fourth proportional to 42,322.26, 58,401.57 and 23,198.97 is: 32,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,322.26 : 58,401.57 = 23,198.97 : x
  2. Step 2: Convert to fraction form
    42,322.26/58,401.57 = 23,198.97/x
  3. Step 3: Cross multiply
    42,322.26x = 58,401.57 × 23,198.97
  4. Step 4: Simplify right side
    42,322.26x = 1,354,856,270.38
  5. Step 5: Solve for x
    x = 1,354,856,270.38/42,322.26
  6. Step 6: Final answer
    x = 32,012.85

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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.