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Finding the Fourth Proportional to 51,786.59, 77,630.67 and 33,013.94

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Solution

The fourth proportional to 51,786.59, 77,630.67 and 33,013.94 is: 49,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,786.59 : 77,630.67 = 33,013.94 : x
  2. Step 2: Convert to fraction form
    51,786.59/77,630.67 = 33,013.94/x
  3. Step 3: Cross multiply
    51,786.59x = 77,630.67 × 33,013.94
  4. Step 4: Simplify right side
    51,786.59x = 2,562,894,281.54
  5. Step 5: Solve for x
    x = 2,562,894,281.54/51,786.59
  6. Step 6: Final answer
    x = 49,489.54

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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.