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Finding the Fourth Proportional to 32,200.65, 48,295.44 and 8,508.45

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Solution

The fourth proportional to 32,200.65, 48,295.44 and 8,508.45 is: 12,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.65 : 48,295.44 = 8,508.45 : x
  2. Step 2: Convert to fraction form
    32,200.65/48,295.44 = 8,508.45/x
  3. Step 3: Cross multiply
    32,200.65x = 48,295.44 × 8,508.45
  4. Step 4: Simplify right side
    32,200.65x = 410,919,336.47
  5. Step 5: Solve for x
    x = 410,919,336.47/32,200.65
  6. Step 6: Final answer
    x = 12,761.21

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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.