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Finding the Fourth Proportional to 43,696, 65,544.24 and 10,864

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Solution

The fourth proportional to 43,696, 65,544.24 and 10,864 is: 16,296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,696 : 65,544.24 = 10,864 : x
  2. Step 2: Convert to fraction form
    43,696/65,544.24 = 10,864/x
  3. Step 3: Cross multiply
    43,696x = 65,544.24 × 10,864
  4. Step 4: Simplify right side
    43,696x = 712,072,623.36
  5. Step 5: Solve for x
    x = 712,072,623.36/43,696
  6. Step 6: Final answer
    x = 16,296.06

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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.