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Finding the Fourth Proportional to 43,942.66, 65,913.44 and 10,663

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Solution

The fourth proportional to 43,942.66, 65,913.44 and 10,663 is: 15,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,942.66 : 65,913.44 = 10,663 : x
  2. Step 2: Convert to fraction form
    43,942.66/65,913.44 = 10,663/x
  3. Step 3: Cross multiply
    43,942.66x = 65,913.44 × 10,663
  4. Step 4: Simplify right side
    43,942.66x = 702,835,010.72
  5. Step 5: Solve for x
    x = 702,835,010.72/43,942.66
  6. Step 6: Final answer
    x = 15,994.37

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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.