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Finding the Fourth Proportional to 32,640.26, 48,960.40 and 8,016.26

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Solution

The fourth proportional to 32,640.26, 48,960.40 and 8,016.26 is: 12,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640.26 : 48,960.40 = 8,016.26 : x
  2. Step 2: Convert to fraction form
    32,640.26/48,960.40 = 8,016.26/x
  3. Step 3: Cross multiply
    32,640.26x = 48,960.40 × 8,016.26
  4. Step 4: Simplify right side
    32,640.26x = 392,479,296.10
  5. Step 5: Solve for x
    x = 392,479,296.10/32,640.26
  6. Step 6: Final answer
    x = 12,024.39

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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.