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Finding the Fourth Proportional to 76,491.85, 114,706.19 and 33,217.60

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Solution

The fourth proportional to 76,491.85, 114,706.19 and 33,217.60 is: 49,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,491.85 : 114,706.19 = 33,217.60 : x
  2. Step 2: Convert to fraction form
    76,491.85/114,706.19 = 33,217.60/x
  3. Step 3: Cross multiply
    76,491.85x = 114,706.19 × 33,217.60
  4. Step 4: Simplify right side
    76,491.85x = 3,810,264,336.94
  5. Step 5: Solve for x
    x = 3,810,264,336.94/76,491.85
  6. Step 6: Final answer
    x = 49,812.68

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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.