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Finding the Fourth Proportional to 49,162.76, 73,744.40 and 12,226.76

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Solution

The fourth proportional to 49,162.76, 73,744.40 and 12,226.76 is: 18,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,162.76 : 73,744.40 = 12,226.76 : x
  2. Step 2: Convert to fraction form
    49,162.76/73,744.40 = 12,226.76/x
  3. Step 3: Cross multiply
    49,162.76x = 73,744.40 × 12,226.76
  4. Step 4: Simplify right side
    49,162.76x = 901,655,080.14
  5. Step 5: Solve for x
    x = 901,655,080.14/49,162.76
  6. Step 6: Final answer
    x = 18,340.20

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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.