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Finding the Fourth Proportional to 32,214.80, 48,322.20 and 8,522.30

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Solution

The fourth proportional to 32,214.80, 48,322.20 and 8,522.30 is: 12,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,214.80 : 48,322.20 = 8,522.30 : x
  2. Step 2: Convert to fraction form
    32,214.80/48,322.20 = 8,522.30/x
  3. Step 3: Cross multiply
    32,214.80x = 48,322.20 × 8,522.30
  4. Step 4: Simplify right side
    32,214.80x = 411,816,285.06
  5. Step 5: Solve for x
    x = 411,816,285.06/32,214.80
  6. Step 6: Final answer
    x = 12,783.45

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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.