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Finding the Fourth Proportional to 32,479.52, 48,716.09 and 22,016.75

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Solution

The fourth proportional to 32,479.52, 48,716.09 and 22,016.75 is: 33,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,479.52 : 48,716.09 = 22,016.75 : x
  2. Step 2: Convert to fraction form
    32,479.52/48,716.09 = 22,016.75/x
  3. Step 3: Cross multiply
    32,479.52x = 48,716.09 × 22,016.75
  4. Step 4: Simplify right side
    32,479.52x = 1,072,569,919.47
  5. Step 5: Solve for x
    x = 1,072,569,919.47/32,479.52
  6. Step 6: Final answer
    x = 33,022.96

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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.