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Finding the Fourth Proportional to 32,219.84, 48,324.08 and 8,527.60

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Solution

The fourth proportional to 32,219.84, 48,324.08 and 8,527.60 is: 12,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,219.84 : 48,324.08 = 8,527.60 : x
  2. Step 2: Convert to fraction form
    32,219.84/48,324.08 = 8,527.60/x
  3. Step 3: Cross multiply
    32,219.84x = 48,324.08 × 8,527.60
  4. Step 4: Simplify right side
    32,219.84x = 412,088,424.61
  5. Step 5: Solve for x
    x = 412,088,424.61/32,219.84
  6. Step 6: Final answer
    x = 12,789.90

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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.