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Finding the Fourth Proportional to 32,872, 49,297.56 and 10,680.24

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Solution

The fourth proportional to 32,872, 49,297.56 and 10,680.24 is: 16,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,872 : 49,297.56 = 10,680.24 : x
  2. Step 2: Convert to fraction form
    32,872/49,297.56 = 10,680.24/x
  3. Step 3: Cross multiply
    32,872x = 49,297.56 × 10,680.24
  4. Step 4: Simplify right side
    32,872x = 526,509,772.21
  5. Step 5: Solve for x
    x = 526,509,772.21/32,872
  6. Step 6: Final answer
    x = 16,016.97

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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.