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Finding the Fourth Proportional to 49,500, 74,261.52 and 16,668

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Solution

The fourth proportional to 49,500, 74,261.52 and 16,668 is: 25,005.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,500 : 74,261.52 = 16,668 : x
  2. Step 2: Convert to fraction form
    49,500/74,261.52 = 16,668/x
  3. Step 3: Cross multiply
    49,500x = 74,261.52 × 16,668
  4. Step 4: Simplify right side
    49,500x = 1,237,791,015.36
  5. Step 5: Solve for x
    x = 1,237,791,015.36/49,500
  6. Step 6: Final answer
    x = 25,005.88

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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.