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Finding the Fourth Proportional to 77,691.84, 116,537.82 and 33,289.80

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Solution

The fourth proportional to 77,691.84, 116,537.82 and 33,289.80 is: 49,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,691.84 : 116,537.82 = 33,289.80 : x
  2. Step 2: Convert to fraction form
    77,691.84/116,537.82 = 33,289.80/x
  3. Step 3: Cross multiply
    77,691.84x = 116,537.82 × 33,289.80
  4. Step 4: Simplify right side
    77,691.84x = 3,879,520,720.24
  5. Step 5: Solve for x
    x = 3,879,520,720.24/77,691.84
  6. Step 6: Final answer
    x = 49,934.73

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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.