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Finding the Fourth Proportional to 83,377.69, 125,101.19 and 33,493.16

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Solution

The fourth proportional to 83,377.69, 125,101.19 and 33,493.16 is: 50,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,377.69 : 125,101.19 = 33,493.16 : x
  2. Step 2: Convert to fraction form
    83,377.69/125,101.19 = 33,493.16/x
  3. Step 3: Cross multiply
    83,377.69x = 125,101.19 × 33,493.16
  4. Step 4: Simplify right side
    83,377.69x = 4,190,034,569.35
  5. Step 5: Solve for x
    x = 4,190,034,569.35/83,377.69
  6. Step 6: Final answer
    x = 50,253.67

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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.