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Finding the Fourth Proportional to 32,961.68, 49,442.60 and 8,001.64

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Solution

The fourth proportional to 32,961.68, 49,442.60 and 8,001.64 is: 12,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,961.68 : 49,442.60 = 8,001.64 : x
  2. Step 2: Convert to fraction form
    32,961.68/49,442.60 = 8,001.64/x
  3. Step 3: Cross multiply
    32,961.68x = 49,442.60 × 8,001.64
  4. Step 4: Simplify right side
    32,961.68x = 395,621,885.86
  5. Step 5: Solve for x
    x = 395,621,885.86/32,961.68
  6. Step 6: Final answer
    x = 12,002.48

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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.