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Finding the Fourth Proportional to 32,209.82, 48,309.08 and 8,517.60

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Solution

The fourth proportional to 32,209.82, 48,309.08 and 8,517.60 is: 12,774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,209.82 : 48,309.08 = 8,517.60 : x
  2. Step 2: Convert to fraction form
    32,209.82/48,309.08 = 8,517.60/x
  3. Step 3: Cross multiply
    32,209.82x = 48,309.08 × 8,517.60
  4. Step 4: Simplify right side
    32,209.82x = 411,477,419.81
  5. Step 5: Solve for x
    x = 411,477,419.81/32,209.82
  6. Step 6: Final answer
    x = 12,774.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.