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Finding the Fourth Proportional to 32,754.38, 45,208.33 and 20,815.38

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Solution

The fourth proportional to 32,754.38, 45,208.33 and 20,815.38 is: 28,729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754.38 : 45,208.33 = 20,815.38 : x
  2. Step 2: Convert to fraction form
    32,754.38/45,208.33 = 20,815.38/x
  3. Step 3: Cross multiply
    32,754.38x = 45,208.33 × 20,815.38
  4. Step 4: Simplify right side
    32,754.38x = 941,028,516.08
  5. Step 5: Solve for x
    x = 941,028,516.08/32,754.38
  6. Step 6: Final answer
    x = 28,729.86

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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.