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Finding the Fourth Proportional to 32,446.32, 48,677.72 and 9,072.88

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Solution

The fourth proportional to 32,446.32, 48,677.72 and 9,072.88 is: 13,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.32 : 48,677.72 = 9,072.88 : x
  2. Step 2: Convert to fraction form
    32,446.32/48,677.72 = 9,072.88/x
  3. Step 3: Cross multiply
    32,446.32x = 48,677.72 × 9,072.88
  4. Step 4: Simplify right side
    32,446.32x = 441,647,112.23
  5. Step 5: Solve for x
    x = 441,647,112.23/32,446.32
  6. Step 6: Final answer
    x = 13,611.62

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1.5x scale

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.