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Finding the Fourth Proportional to 32,466.50, 48,662.84 and 13,734.86

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Solution

The fourth proportional to 32,466.50, 48,662.84 and 13,734.86 is: 20,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466.50 : 48,662.84 = 13,734.86 : x
  2. Step 2: Convert to fraction form
    32,466.50/48,662.84 = 13,734.86/x
  3. Step 3: Cross multiply
    32,466.50x = 48,662.84 × 13,734.86
  4. Step 4: Simplify right side
    32,466.50x = 668,377,294.60
  5. Step 5: Solve for x
    x = 668,377,294.60/32,466.50
  6. Step 6: Final answer
    x = 20,586.68

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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.