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Finding the Fourth Proportional to 32,057.84, 48,084.96 and 8,682.56

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Solution

The fourth proportional to 32,057.84, 48,084.96 and 8,682.56 is: 13,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057.84 : 48,084.96 = 8,682.56 : x
  2. Step 2: Convert to fraction form
    32,057.84/48,084.96 = 8,682.56/x
  3. Step 3: Cross multiply
    32,057.84x = 48,084.96 × 8,682.56
  4. Step 4: Simplify right side
    32,057.84x = 417,500,550.30
  5. Step 5: Solve for x
    x = 417,500,550.30/32,057.84
  6. Step 6: Final answer
    x = 13,023.35

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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.