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Finding the Fourth Proportional to 32,964.03, 49,452.42 and 10,771.44

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Solution

The fourth proportional to 32,964.03, 49,452.42 and 10,771.44 is: 16,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964.03 : 49,452.42 = 10,771.44 : x
  2. Step 2: Convert to fraction form
    32,964.03/49,452.42 = 10,771.44/x
  3. Step 3: Cross multiply
    32,964.03x = 49,452.42 × 10,771.44
  4. Step 4: Simplify right side
    32,964.03x = 532,673,774.88
  5. Step 5: Solve for x
    x = 532,673,774.88/32,964.03
  6. Step 6: Final answer
    x = 16,159.24

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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.