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Finding the Fourth Proportional to 50,976, 76,466.88 and 18,144

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Solution

The fourth proportional to 50,976, 76,466.88 and 18,144 is: 27,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,976 : 76,466.88 = 18,144 : x
  2. Step 2: Convert to fraction form
    50,976/76,466.88 = 18,144/x
  3. Step 3: Cross multiply
    50,976x = 76,466.88 × 18,144
  4. Step 4: Simplify right side
    50,976x = 1,387,415,070.72
  5. Step 5: Solve for x
    x = 1,387,415,070.72/50,976
  6. Step 6: Final answer
    x = 27,217.03

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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.