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Finding the Fourth Proportional to 32,406.20, 48,609.29 and 7,782.20

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Solution

The fourth proportional to 32,406.20, 48,609.29 and 7,782.20 is: 11,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.20 : 48,609.29 = 7,782.20 : x
  2. Step 2: Convert to fraction form
    32,406.20/48,609.29 = 7,782.20/x
  3. Step 3: Cross multiply
    32,406.20x = 48,609.29 × 7,782.20
  4. Step 4: Simplify right side
    32,406.20x = 378,286,934.68
  5. Step 5: Solve for x
    x = 378,286,934.68/32,406.20
  6. Step 6: Final answer
    x = 11,673.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.