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Finding the Fourth Proportional to 32,389.50, 48,584.25 and 9,016.55

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Solution

The fourth proportional to 32,389.50, 48,584.25 and 9,016.55 is: 13,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,389.50 : 48,584.25 = 9,016.55 : x
  2. Step 2: Convert to fraction form
    32,389.50/48,584.25 = 9,016.55/x
  3. Step 3: Cross multiply
    32,389.50x = 48,584.25 × 9,016.55
  4. Step 4: Simplify right side
    32,389.50x = 438,062,076.42
  5. Step 5: Solve for x
    x = 438,062,076.42/32,389.50
  6. Step 6: Final answer
    x = 13,524.82

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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.