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Finding the Fourth Proportional to 47,589.70, 71,384.71 and 12,051

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Solution

The fourth proportional to 47,589.70, 71,384.71 and 12,051 is: 18,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,589.70 : 71,384.71 = 12,051 : x
  2. Step 2: Convert to fraction form
    47,589.70/71,384.71 = 12,051/x
  3. Step 3: Cross multiply
    47,589.70x = 71,384.71 × 12,051
  4. Step 4: Simplify right side
    47,589.70x = 860,257,110.08
  5. Step 5: Solve for x
    x = 860,257,110.08/47,589.70
  6. Step 6: Final answer
    x = 18,076.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.