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Finding the Fourth Proportional to 48,115.56, 72,171.72 and 16,950

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Solution

The fourth proportional to 48,115.56, 72,171.72 and 16,950 is: 25,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,115.56 : 72,171.72 = 16,950 : x
  2. Step 2: Convert to fraction form
    48,115.56/72,171.72 = 16,950/x
  3. Step 3: Cross multiply
    48,115.56x = 72,171.72 × 16,950
  4. Step 4: Simplify right side
    48,115.56x = 1,223,310,654
  5. Step 5: Solve for x
    x = 1,223,310,654/48,115.56
  6. Step 6: Final answer
    x = 25,424.43

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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.