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Finding the Fourth Proportional to 43,941.66, 65,911.94 and 10,662

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Solution

The fourth proportional to 43,941.66, 65,911.94 and 10,662 is: 15,992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,941.66 : 65,911.94 = 10,662 : x
  2. Step 2: Convert to fraction form
    43,941.66/65,911.94 = 10,662/x
  3. Step 3: Cross multiply
    43,941.66x = 65,911.94 × 10,662
  4. Step 4: Simplify right side
    43,941.66x = 702,753,104.28
  5. Step 5: Solve for x
    x = 702,753,104.28/43,941.66
  6. Step 6: Final answer
    x = 15,992.87

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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.