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Finding the Fourth Proportional to 48,811.32, 73,228.24 and 20,732.28

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Solution

The fourth proportional to 48,811.32, 73,228.24 and 20,732.28 is: 31,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,811.32 : 73,228.24 = 20,732.28 : x
  2. Step 2: Convert to fraction form
    48,811.32/73,228.24 = 20,732.28/x
  3. Step 3: Cross multiply
    48,811.32x = 73,228.24 × 20,732.28
  4. Step 4: Simplify right side
    48,811.32x = 1,518,188,375.59
  5. Step 5: Solve for x
    x = 1,518,188,375.59/48,811.32
  6. Step 6: Final answer
    x = 31,103.20

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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.