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Finding the Fourth Proportional to 43,586, 65,414.03 and 22,532.23

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Solution

The fourth proportional to 43,586, 65,414.03 and 22,532.23 is: 33,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,586 : 65,414.03 = 22,532.23 : x
  2. Step 2: Convert to fraction form
    43,586/65,414.03 = 22,532.23/x
  3. Step 3: Cross multiply
    43,586x = 65,414.03 × 22,532.23
  4. Step 4: Simplify right side
    43,586x = 1,473,923,969.19
  5. Step 5: Solve for x
    x = 1,473,923,969.19/43,586
  6. Step 6: Final answer
    x = 33,816.45

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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.