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Finding the Fourth Proportional to 41,691.44, 62,498.28 and 13,970

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Solution

The fourth proportional to 41,691.44, 62,498.28 and 13,970 is: 20,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,691.44 : 62,498.28 = 13,970 : x
  2. Step 2: Convert to fraction form
    41,691.44/62,498.28 = 13,970/x
  3. Step 3: Cross multiply
    41,691.44x = 62,498.28 × 13,970
  4. Step 4: Simplify right side
    41,691.44x = 873,100,971.60
  5. Step 5: Solve for x
    x = 873,100,971.60/41,691.44
  6. Step 6: Final answer
    x = 20,941.97

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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.