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Finding the Fourth Proportional to 32,467.76, 48,694.16 and 9,096.56

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Solution

The fourth proportional to 32,467.76, 48,694.16 and 9,096.56 is: 13,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,467.76 : 48,694.16 = 9,096.56 : x
  2. Step 2: Convert to fraction form
    32,467.76/48,694.16 = 9,096.56/x
  3. Step 3: Cross multiply
    32,467.76x = 48,694.16 × 9,096.56
  4. Step 4: Simplify right side
    32,467.76x = 442,949,348.09
  5. Step 5: Solve for x
    x = 442,949,348.09/32,467.76
  6. Step 6: Final answer
    x = 13,642.74

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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.