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Finding the Fourth Proportional to 32,519.33, 48,782.24 and 8,827.26

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Solution

The fourth proportional to 32,519.33, 48,782.24 and 8,827.26 is: 13,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,519.33 : 48,782.24 = 8,827.26 : x
  2. Step 2: Convert to fraction form
    32,519.33/48,782.24 = 8,827.26/x
  3. Step 3: Cross multiply
    32,519.33x = 48,782.24 × 8,827.26
  4. Step 4: Simplify right side
    32,519.33x = 430,613,471.73
  5. Step 5: Solve for x
    x = 430,613,471.73/32,519.33
  6. Step 6: Final answer
    x = 13,241.77

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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.