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Finding the Fourth Proportional to 48,797.76, 73,185.84 and 13,728

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Solution

The fourth proportional to 48,797.76, 73,185.84 and 13,728 is: 20,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,797.76 : 73,185.84 = 13,728 : x
  2. Step 2: Convert to fraction form
    48,797.76/73,185.84 = 13,728/x
  3. Step 3: Cross multiply
    48,797.76x = 73,185.84 × 13,728
  4. Step 4: Simplify right side
    48,797.76x = 1,004,695,211.52
  5. Step 5: Solve for x
    x = 1,004,695,211.52/48,797.76
  6. Step 6: Final answer
    x = 20,588.96

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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.