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Finding the Fourth Proportional to 83,343.50, 125,021.62 and 35,959.71

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Solution

The fourth proportional to 83,343.50, 125,021.62 and 35,959.71 is: 53,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,343.50 : 125,021.62 = 35,959.71 : x
  2. Step 2: Convert to fraction form
    83,343.50/125,021.62 = 35,959.71/x
  3. Step 3: Cross multiply
    83,343.50x = 125,021.62 × 35,959.71
  4. Step 4: Simplify right side
    83,343.50x = 4,495,741,198.93
  5. Step 5: Solve for x
    x = 4,495,741,198.93/83,343.50
  6. Step 6: Final answer
    x = 53,942.32

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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.