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Finding the Fourth Proportional to 83,722.50, 125,550.95 and 33,793.29

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Solution

The fourth proportional to 83,722.50, 125,550.95 and 33,793.29 is: 50,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,722.50 : 125,550.95 = 33,793.29 : x
  2. Step 2: Convert to fraction form
    83,722.50/125,550.95 = 33,793.29/x
  3. Step 3: Cross multiply
    83,722.50x = 125,550.95 × 33,793.29
  4. Step 4: Simplify right side
    83,722.50x = 4,242,779,494.16
  5. Step 5: Solve for x
    x = 4,242,779,494.16/83,722.50
  6. Step 6: Final answer
    x = 50,676.69

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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.