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Finding the Fourth Proportional to 47,476.20, 71,215.74 and 16,311

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Solution

The fourth proportional to 47,476.20, 71,215.74 and 16,311 is: 24,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,476.20 : 71,215.74 = 16,311 : x
  2. Step 2: Convert to fraction form
    47,476.20/71,215.74 = 16,311/x
  3. Step 3: Cross multiply
    47,476.20x = 71,215.74 × 16,311
  4. Step 4: Simplify right side
    47,476.20x = 1,161,599,935.14
  5. Step 5: Solve for x
    x = 1,161,599,935.14/47,476.20
  6. Step 6: Final answer
    x = 24,466.99

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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.