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Finding the Fourth Proportional to 32,872.32, 49,310.64 and 11,816.64

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Solution

The fourth proportional to 32,872.32, 49,310.64 and 11,816.64 is: 17,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,872.32 : 49,310.64 = 11,816.64 : x
  2. Step 2: Convert to fraction form
    32,872.32/49,310.64 = 11,816.64/x
  3. Step 3: Cross multiply
    32,872.32x = 49,310.64 × 11,816.64
  4. Step 4: Simplify right side
    32,872.32x = 582,686,081.05
  5. Step 5: Solve for x
    x = 582,686,081.05/32,872.32
  6. Step 6: Final answer
    x = 17,725.74

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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.