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Finding the Fourth Proportional to 83,361.82, 125,055.03 and 24,189.80

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Solution

The fourth proportional to 83,361.82, 125,055.03 and 24,189.80 is: 36,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,361.82 : 125,055.03 = 24,189.80 : x
  2. Step 2: Convert to fraction form
    83,361.82/125,055.03 = 24,189.80/x
  3. Step 3: Cross multiply
    83,361.82x = 125,055.03 × 24,189.80
  4. Step 4: Simplify right side
    83,361.82x = 3,025,056,164.69
  5. Step 5: Solve for x
    x = 3,025,056,164.69/83,361.82
  6. Step 6: Final answer
    x = 36,288.27

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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.