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Finding the Fourth Proportional to 83,416, 125,129.46 and 33,489.52

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Solution

The fourth proportional to 83,416, 125,129.46 and 33,489.52 is: 50,236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,416 : 125,129.46 = 33,489.52 : x
  2. Step 2: Convert to fraction form
    83,416/125,129.46 = 33,489.52/x
  3. Step 3: Cross multiply
    83,416x = 125,129.46 × 33,489.52
  4. Step 4: Simplify right side
    83,416x = 4,190,525,553.26
  5. Step 5: Solve for x
    x = 4,190,525,553.26/83,416
  6. Step 6: Final answer
    x = 50,236.47

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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.