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Finding the Fourth Proportional to 77,650.70, 116,456.81 and 33,272.42

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Solution

The fourth proportional to 77,650.70, 116,456.81 and 33,272.42 is: 49,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,650.70 : 116,456.81 = 33,272.42 : x
  2. Step 2: Convert to fraction form
    77,650.70/116,456.81 = 33,272.42/x
  3. Step 3: Cross multiply
    77,650.70x = 116,456.81 × 33,272.42
  4. Step 4: Simplify right side
    77,650.70x = 3,874,799,145.53
  5. Step 5: Solve for x
    x = 3,874,799,145.53/77,650.70
  6. Step 6: Final answer
    x = 49,900.38

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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.