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Finding the Fourth Proportional to 32,310.96, 48,466.92 and 8,619

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Solution

The fourth proportional to 32,310.96, 48,466.92 and 8,619 is: 12,928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,310.96 : 48,466.92 = 8,619 : x
  2. Step 2: Convert to fraction form
    32,310.96/48,466.92 = 8,619/x
  3. Step 3: Cross multiply
    32,310.96x = 48,466.92 × 8,619
  4. Step 4: Simplify right side
    32,310.96x = 417,736,383.48
  5. Step 5: Solve for x
    x = 417,736,383.48/32,310.96
  6. Step 6: Final answer
    x = 12,928.63

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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.