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Finding the Fourth Proportional to 76,836, 106,033.68 and 41,508

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Solution

The fourth proportional to 76,836, 106,033.68 and 41,508 is: 57,281.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,836 : 106,033.68 = 41,508 : x
  2. Step 2: Convert to fraction form
    76,836/106,033.68 = 41,508/x
  3. Step 3: Cross multiply
    76,836x = 106,033.68 × 41,508
  4. Step 4: Simplify right side
    76,836x = 4,401,245,989.44
  5. Step 5: Solve for x
    x = 4,401,245,989.44/76,836
  6. Step 6: Final answer
    x = 57,281.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.