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Finding the Fourth Proportional to 111,670.65, 167,504.63 and 32,782.05

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Solution

The fourth proportional to 111,670.65, 167,504.63 and 32,782.05 is: 49,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,670.65 : 167,504.63 = 32,782.05 : x
  2. Step 2: Convert to fraction form
    111,670.65/167,504.63 = 32,782.05/x
  3. Step 3: Cross multiply
    111,670.65x = 167,504.63 × 32,782.05
  4. Step 4: Simplify right side
    111,670.65x = 5,491,144,991.98
  5. Step 5: Solve for x
    x = 5,491,144,991.98/111,670.65
  6. Step 6: Final answer
    x = 49,172.68

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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.