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Finding the Fourth Proportional to 48,855.64, 73,284.92 and 13,791.64

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Solution

The fourth proportional to 48,855.64, 73,284.92 and 13,791.64 is: 20,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,855.64 : 73,284.92 = 13,791.64 : x
  2. Step 2: Convert to fraction form
    48,855.64/73,284.92 = 13,791.64/x
  3. Step 3: Cross multiply
    48,855.64x = 73,284.92 × 13,791.64
  4. Step 4: Simplify right side
    48,855.64x = 1,010,719,234.07
  5. Step 5: Solve for x
    x = 1,010,719,234.07/48,855.64
  6. Step 6: Final answer
    x = 20,687.87

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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.