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Finding the Fourth Proportional to 83,793.69, 115,602.39 and 47,964.42

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Solution

The fourth proportional to 83,793.69, 115,602.39 and 47,964.42 is: 66,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,793.69 : 115,602.39 = 47,964.42 : x
  2. Step 2: Convert to fraction form
    83,793.69/115,602.39 = 47,964.42/x
  3. Step 3: Cross multiply
    83,793.69x = 115,602.39 × 47,964.42
  4. Step 4: Simplify right side
    83,793.69x = 5,544,801,586.96
  5. Step 5: Solve for x
    x = 5,544,801,586.96/83,793.69
  6. Step 6: Final answer
    x = 66,172.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.