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Finding the Fourth Proportional to 43,662.24, 65,494.08 and 15,960

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Solution

The fourth proportional to 43,662.24, 65,494.08 and 15,960 is: 23,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,662.24 : 65,494.08 = 15,960 : x
  2. Step 2: Convert to fraction form
    43,662.24/65,494.08 = 15,960/x
  3. Step 3: Cross multiply
    43,662.24x = 65,494.08 × 15,960
  4. Step 4: Simplify right side
    43,662.24x = 1,045,285,516.80
  5. Step 5: Solve for x
    x = 1,045,285,516.80/43,662.24
  6. Step 6: Final answer
    x = 23,940.26

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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.