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Finding the Fourth Proportional to 32,199.57, 48,293.90 and 8,507.39

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Solution

The fourth proportional to 32,199.57, 48,293.90 and 8,507.39 is: 12,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.57 : 48,293.90 = 8,507.39 : x
  2. Step 2: Convert to fraction form
    32,199.57/48,293.90 = 8,507.39/x
  3. Step 3: Cross multiply
    32,199.57x = 48,293.90 × 8,507.39
  4. Step 4: Simplify right side
    32,199.57x = 410,854,757.91
  5. Step 5: Solve for x
    x = 410,854,757.91/32,199.57
  6. Step 6: Final answer
    x = 12,759.63

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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.