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Finding the Fourth Proportional to 43,943.66, 65,914.94 and 10,664

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Solution

The fourth proportional to 43,943.66, 65,914.94 and 10,664 is: 15,995.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,943.66 : 65,914.94 = 10,664 : x
  2. Step 2: Convert to fraction form
    43,943.66/65,914.94 = 10,664/x
  3. Step 3: Cross multiply
    43,943.66x = 65,914.94 × 10,664
  4. Step 4: Simplify right side
    43,943.66x = 702,916,920.16
  5. Step 5: Solve for x
    x = 702,916,920.16/43,943.66
  6. Step 6: Final answer
    x = 15,995.87

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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.