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Finding the Fourth Proportional to 47,873, 71,823.16 and 16,289.98

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Solution

The fourth proportional to 47,873, 71,823.16 and 16,289.98 is: 24,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,873 : 71,823.16 = 16,289.98 : x
  2. Step 2: Convert to fraction form
    47,873/71,823.16 = 16,289.98/x
  3. Step 3: Cross multiply
    47,873x = 71,823.16 × 16,289.98
  4. Step 4: Simplify right side
    47,873x = 1,169,997,839.94
  5. Step 5: Solve for x
    x = 1,169,997,839.94/47,873
  6. Step 6: Final answer
    x = 24,439.62

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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.