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Finding the Fourth Proportional to 32,065.38, 44,251.65 and 17,919.54

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Solution

The fourth proportional to 32,065.38, 44,251.65 and 17,919.54 is: 24,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065.38 : 44,251.65 = 17,919.54 : x
  2. Step 2: Convert to fraction form
    32,065.38/44,251.65 = 17,919.54/x
  3. Step 3: Cross multiply
    32,065.38x = 44,251.65 × 17,919.54
  4. Step 4: Simplify right side
    32,065.38x = 792,969,212.24
  5. Step 5: Solve for x
    x = 792,969,212.24/32,065.38
  6. Step 6: Final answer
    x = 24,729.76

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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.