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Finding the Fourth Proportional to 32,171.62, 44,382 and 20,844.92

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Solution

The fourth proportional to 32,171.62, 44,382 and 20,844.92 is: 28,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.62 : 44,382 = 20,844.92 : x
  2. Step 2: Convert to fraction form
    32,171.62/44,382 = 20,844.92/x
  3. Step 3: Cross multiply
    32,171.62x = 44,382 × 20,844.92
  4. Step 4: Simplify right side
    32,171.62x = 925,139,239.44
  5. Step 5: Solve for x
    x = 925,139,239.44/32,171.62
  6. Step 6: Final answer
    x = 28,756.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.