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Finding the Fourth Proportional to 32,287.72, 48,431.58 and 11,496.64

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Solution

The fourth proportional to 32,287.72, 48,431.58 and 11,496.64 is: 17,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,287.72 : 48,431.58 = 11,496.64 : x
  2. Step 2: Convert to fraction form
    32,287.72/48,431.58 = 11,496.64/x
  3. Step 3: Cross multiply
    32,287.72x = 48,431.58 × 11,496.64
  4. Step 4: Simplify right side
    32,287.72x = 556,800,439.89
  5. Step 5: Solve for x
    x = 556,800,439.89/32,287.72
  6. Step 6: Final answer
    x = 17,244.96

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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.