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Finding the Fourth Proportional to 32,012.01, 48,018 and 8,638.44

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Solution

The fourth proportional to 32,012.01, 48,018 and 8,638.44 is: 12,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.01 : 48,018 = 8,638.44 : x
  2. Step 2: Convert to fraction form
    32,012.01/48,018 = 8,638.44/x
  3. Step 3: Cross multiply
    32,012.01x = 48,018 × 8,638.44
  4. Step 4: Simplify right side
    32,012.01x = 414,800,611.92
  5. Step 5: Solve for x
    x = 414,800,611.92/32,012.01
  6. Step 6: Final answer
    x = 12,957.66

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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.