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Finding the Fourth Proportional to 30,963.72, 42,747.66 and 20,384.12

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Solution

The fourth proportional to 30,963.72, 42,747.66 and 20,384.12 is: 28,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,963.72 : 42,747.66 = 20,384.12 : x
  2. Step 2: Convert to fraction form
    30,963.72/42,747.66 = 20,384.12/x
  3. Step 3: Cross multiply
    30,963.72x = 42,747.66 × 20,384.12
  4. Step 4: Simplify right side
    30,963.72x = 871,373,217.42
  5. Step 5: Solve for x
    x = 871,373,217.42/30,963.72
  6. Step 6: Final answer
    x = 28,141.75

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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.