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Finding the Fourth Proportional to 32,197.80, 48,296.70 and 8,505.30

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Solution

The fourth proportional to 32,197.80, 48,296.70 and 8,505.30 is: 12,757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.80 : 48,296.70 = 8,505.30 : x
  2. Step 2: Convert to fraction form
    32,197.80/48,296.70 = 8,505.30/x
  3. Step 3: Cross multiply
    32,197.80x = 48,296.70 × 8,505.30
  4. Step 4: Simplify right side
    32,197.80x = 410,777,922.51
  5. Step 5: Solve for x
    x = 410,777,922.51/32,197.80
  6. Step 6: Final answer
    x = 12,757.95

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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.