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Finding the Fourth Proportional to 32,194.80, 48,277.80 and 12,466.80

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Solution

The fourth proportional to 32,194.80, 48,277.80 and 12,466.80 is: 18,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.80 : 48,277.80 = 12,466.80 : x
  2. Step 2: Convert to fraction form
    32,194.80/48,277.80 = 12,466.80/x
  3. Step 3: Cross multiply
    32,194.80x = 48,277.80 × 12,466.80
  4. Step 4: Simplify right side
    32,194.80x = 601,869,677.04
  5. Step 5: Solve for x
    x = 601,869,677.04/32,194.80
  6. Step 6: Final answer
    x = 18,694.62

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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.