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Finding the Fourth Proportional to 41,165.82, 61,736.47 and 17,472.98

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Solution

The fourth proportional to 41,165.82, 61,736.47 and 17,472.98 is: 26,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,165.82 : 61,736.47 = 17,472.98 : x
  2. Step 2: Convert to fraction form
    41,165.82/61,736.47 = 17,472.98/x
  3. Step 3: Cross multiply
    41,165.82x = 61,736.47 × 17,472.98
  4. Step 4: Simplify right side
    41,165.82x = 1,078,720,105.58
  5. Step 5: Solve for x
    x = 1,078,720,105.58/41,165.82
  6. Step 6: Final answer
    x = 26,204.27

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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.