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Finding the Fourth Proportional to 47,872.70, 71,808.54 and 12,333.87

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Solution

The fourth proportional to 47,872.70, 71,808.54 and 12,333.87 is: 18,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872.70 : 71,808.54 = 12,333.87 : x
  2. Step 2: Convert to fraction form
    47,872.70/71,808.54 = 12,333.87/x
  3. Step 3: Cross multiply
    47,872.70x = 71,808.54 × 12,333.87
  4. Step 4: Simplify right side
    47,872.70x = 885,677,197.25
  5. Step 5: Solve for x
    x = 885,677,197.25/47,872.70
  6. Step 6: Final answer
    x = 18,500.68

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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.