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Finding the Fourth Proportional to 102,814.56, 154,221.84 and 32,693.94

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Solution

The fourth proportional to 102,814.56, 154,221.84 and 32,693.94 is: 49,040.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,814.56 : 154,221.84 = 32,693.94 : x
  2. Step 2: Convert to fraction form
    102,814.56/154,221.84 = 32,693.94/x
  3. Step 3: Cross multiply
    102,814.56x = 154,221.84 × 32,693.94
  4. Step 4: Simplify right side
    102,814.56x = 5,042,119,583.65
  5. Step 5: Solve for x
    x = 5,042,119,583.65/102,814.56
  6. Step 6: Final answer
    x = 49,040.91

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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.