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Finding the Fourth Proportional to 49,129.76, 73,694.64 and 12,193.76

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Solution

The fourth proportional to 49,129.76, 73,694.64 and 12,193.76 is: 18,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,129.76 : 73,694.64 = 12,193.76 : x
  2. Step 2: Convert to fraction form
    49,129.76/73,694.64 = 12,193.76/x
  3. Step 3: Cross multiply
    49,129.76x = 73,694.64 × 12,193.76
  4. Step 4: Simplify right side
    49,129.76x = 898,614,753.45
  5. Step 5: Solve for x
    x = 898,614,753.45/49,129.76
  6. Step 6: Final answer
    x = 18,290.64

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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.