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Finding the Fourth Proportional to 83,643.89, 125,464.28 and 33,722.64

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Solution

The fourth proportional to 83,643.89, 125,464.28 and 33,722.64 is: 50,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,643.89 : 125,464.28 = 33,722.64 : x
  2. Step 2: Convert to fraction form
    83,643.89/125,464.28 = 33,722.64/x
  3. Step 3: Cross multiply
    83,643.89x = 125,464.28 × 33,722.64
  4. Step 4: Simplify right side
    83,643.89x = 4,230,986,578.69
  5. Step 5: Solve for x
    x = 4,230,986,578.69/83,643.89
  6. Step 6: Final answer
    x = 50,583.33

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1.5x scale

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.