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Finding the Fourth Proportional to 32,209.32, 48,308.34 and 8,517.09

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Solution

The fourth proportional to 32,209.32, 48,308.34 and 8,517.09 is: 12,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,209.32 : 48,308.34 = 8,517.09 : x
  2. Step 2: Convert to fraction form
    32,209.32/48,308.34 = 8,517.09/x
  3. Step 3: Cross multiply
    32,209.32x = 48,308.34 × 8,517.09
  4. Step 4: Simplify right side
    32,209.32x = 411,446,479.53
  5. Step 5: Solve for x
    x = 411,446,479.53/32,209.32
  6. Step 6: Final answer
    x = 12,774.14

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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.