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Finding the Fourth Proportional to 32,002.45, 48,000.34 and 8,627.47

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Solution

The fourth proportional to 32,002.45, 48,000.34 and 8,627.47 is: 12,940.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.45 : 48,000.34 = 8,627.47 : x
  2. Step 2: Convert to fraction form
    32,002.45/48,000.34 = 8,627.47/x
  3. Step 3: Cross multiply
    32,002.45x = 48,000.34 × 8,627.47
  4. Step 4: Simplify right side
    32,002.45x = 414,121,493.34
  5. Step 5: Solve for x
    x = 414,121,493.34/32,002.45
  6. Step 6: Final answer
    x = 12,940.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.