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Finding the Fourth Proportional to 32,449.88, 48,664.74 and 13,729.60

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Solution

The fourth proportional to 32,449.88, 48,664.74 and 13,729.60 is: 20,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449.88 : 48,664.74 = 13,729.60 : x
  2. Step 2: Convert to fraction form
    32,449.88/48,664.74 = 13,729.60/x
  3. Step 3: Cross multiply
    32,449.88x = 48,664.74 × 13,729.60
  4. Step 4: Simplify right side
    32,449.88x = 668,147,414.30
  5. Step 5: Solve for x
    x = 668,147,414.30/32,449.88
  6. Step 6: Final answer
    x = 20,590.14

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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.