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Finding the Fourth Proportional to 41,395, 62,095.76 and 13,693

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Solution

The fourth proportional to 41,395, 62,095.76 and 13,693 is: 20,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,395 : 62,095.76 = 13,693 : x
  2. Step 2: Convert to fraction form
    41,395/62,095.76 = 13,693/x
  3. Step 3: Cross multiply
    41,395x = 62,095.76 × 13,693
  4. Step 4: Simplify right side
    41,395x = 850,277,241.68
  5. Step 5: Solve for x
    x = 850,277,241.68/41,395
  6. Step 6: Final answer
    x = 20,540.58

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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.