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Finding the Fourth Proportional to 39,142.64, 54,016.15 and 23,823.64

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Solution

The fourth proportional to 39,142.64, 54,016.15 and 23,823.64 is: 32,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,142.64 : 54,016.15 = 23,823.64 : x
  2. Step 2: Convert to fraction form
    39,142.64/54,016.15 = 23,823.64/x
  3. Step 3: Cross multiply
    39,142.64x = 54,016.15 × 23,823.64
  4. Step 4: Simplify right side
    39,142.64x = 1,286,861,466.08
  5. Step 5: Solve for x
    x = 1,286,861,466.08/39,142.64
  6. Step 6: Final answer
    x = 32,876.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.