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Finding the Fourth Proportional to 32,452.64, 48,674.64 and 20,642.84

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Solution

The fourth proportional to 32,452.64, 48,674.64 and 20,642.84 is: 30,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,452.64 : 48,674.64 = 20,642.84 : x
  2. Step 2: Convert to fraction form
    32,452.64/48,674.64 = 20,642.84/x
  3. Step 3: Cross multiply
    32,452.64x = 48,674.64 × 20,642.84
  4. Step 4: Simplify right side
    32,452.64x = 1,004,782,805.58
  5. Step 5: Solve for x
    x = 1,004,782,805.58/32,452.64
  6. Step 6: Final answer
    x = 30,961.51

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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.