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Finding the Fourth Proportional to 83,594.41, 125,410.71 and 36,217.37

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Solution

The fourth proportional to 83,594.41, 125,410.71 and 36,217.37 is: 54,334.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,594.41 : 125,410.71 = 36,217.37 : x
  2. Step 2: Convert to fraction form
    83,594.41/125,410.71 = 36,217.37/x
  3. Step 3: Cross multiply
    83,594.41x = 125,410.71 × 36,217.37
  4. Step 4: Simplify right side
    83,594.41x = 4,542,046,086.03
  5. Step 5: Solve for x
    x = 4,542,046,086.03/83,594.41
  6. Step 6: Final answer
    x = 54,334.33

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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.