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Finding the Fourth Proportional to 32,136.64, 48,200.20 and 18,815.78

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Solution

The fourth proportional to 32,136.64, 48,200.20 and 18,815.78 is: 28,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,136.64 : 48,200.20 = 18,815.78 : x
  2. Step 2: Convert to fraction form
    32,136.64/48,200.20 = 18,815.78/x
  3. Step 3: Cross multiply
    32,136.64x = 48,200.20 × 18,815.78
  4. Step 4: Simplify right side
    32,136.64x = 906,924,359.16
  5. Step 5: Solve for x
    x = 906,924,359.16/32,136.64
  6. Step 6: Final answer
    x = 28,220.88

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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.