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Finding the Fourth Proportional to 32,514.75, 48,773.52 and 10,327.64

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Solution

The fourth proportional to 32,514.75, 48,773.52 and 10,327.64 is: 15,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,514.75 : 48,773.52 = 10,327.64 : x
  2. Step 2: Convert to fraction form
    32,514.75/48,773.52 = 10,327.64/x
  3. Step 3: Cross multiply
    32,514.75x = 48,773.52 × 10,327.64
  4. Step 4: Simplify right side
    32,514.75x = 503,715,112.23
  5. Step 5: Solve for x
    x = 503,715,112.23/32,514.75
  6. Step 6: Final answer
    x = 15,491.90

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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.