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Finding the Fourth Proportional to 32,024, 48,036 and 8,650.44

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Solution

The fourth proportional to 32,024, 48,036 and 8,650.44 is: 12,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024 : 48,036 = 8,650.44 : x
  2. Step 2: Convert to fraction form
    32,024/48,036 = 8,650.44/x
  3. Step 3: Cross multiply
    32,024x = 48,036 × 8,650.44
  4. Step 4: Simplify right side
    32,024x = 415,532,535.84
  5. Step 5: Solve for x
    x = 415,532,535.84/32,024
  6. Step 6: Final answer
    x = 12,975.66

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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.