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Finding the Fourth Proportional to 32,591.63, 44,976.80 and 20,016.38

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Solution

The fourth proportional to 32,591.63, 44,976.80 and 20,016.38 is: 27,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,591.63 : 44,976.80 = 20,016.38 : x
  2. Step 2: Convert to fraction form
    32,591.63/44,976.80 = 20,016.38/x
  3. Step 3: Cross multiply
    32,591.63x = 44,976.80 × 20,016.38
  4. Step 4: Simplify right side
    32,591.63x = 900,272,882.47
  5. Step 5: Solve for x
    x = 900,272,882.47/32,591.63
  6. Step 6: Final answer
    x = 27,622.82

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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.