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Finding the Fourth Proportional to 32,964.39, 49,454.69 and 9,591.03

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Solution

The fourth proportional to 32,964.39, 49,454.69 and 9,591.03 is: 14,388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964.39 : 49,454.69 = 9,591.03 : x
  2. Step 2: Convert to fraction form
    32,964.39/49,454.69 = 9,591.03/x
  3. Step 3: Cross multiply
    32,964.39x = 49,454.69 × 9,591.03
  4. Step 4: Simplify right side
    32,964.39x = 474,321,367.48
  5. Step 5: Solve for x
    x = 474,321,367.48/32,964.39
  6. Step 6: Final answer
    x = 14,388.90

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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.