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Finding the Fourth Proportional to 32,122.92, 48,192.72 and 13,396.80

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Solution

The fourth proportional to 32,122.92, 48,192.72 and 13,396.80 is: 20,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,122.92 : 48,192.72 = 13,396.80 : x
  2. Step 2: Convert to fraction form
    32,122.92/48,192.72 = 13,396.80/x
  3. Step 3: Cross multiply
    32,122.92x = 48,192.72 × 13,396.80
  4. Step 4: Simplify right side
    32,122.92x = 645,628,231.30
  5. Step 5: Solve for x
    x = 645,628,231.30/32,122.92
  6. Step 6: Final answer
    x = 20,098.68

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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.