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Finding the Fourth Proportional to 32,406.38, 48,609.56 and 7,782.38

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Solution

The fourth proportional to 32,406.38, 48,609.56 and 7,782.38 is: 11,673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.38 : 48,609.56 = 7,782.38 : x
  2. Step 2: Convert to fraction form
    32,406.38/48,609.56 = 7,782.38/x
  3. Step 3: Cross multiply
    32,406.38x = 48,609.56 × 7,782.38
  4. Step 4: Simplify right side
    32,406.38x = 378,298,067.55
  5. Step 5: Solve for x
    x = 378,298,067.55/32,406.38
  6. Step 6: Final answer
    x = 11,673.57

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Similar ratio
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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.