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Finding the Fourth Proportional to 53,583.80, 80,361.30 and 22,412.60

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Solution

The fourth proportional to 53,583.80, 80,361.30 and 22,412.60 is: 33,612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,583.80 : 80,361.30 = 22,412.60 : x
  2. Step 2: Convert to fraction form
    53,583.80/80,361.30 = 22,412.60/x
  3. Step 3: Cross multiply
    53,583.80x = 80,361.30 × 22,412.60
  4. Step 4: Simplify right side
    53,583.80x = 1,801,105,672.38
  5. Step 5: Solve for x
    x = 1,801,105,672.38/53,583.80
  6. Step 6: Final answer
    x = 33,612.88

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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.