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Finding the Fourth Proportional to 34,538.67, 51,808.01 and 22,849.16

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Solution

The fourth proportional to 34,538.67, 51,808.01 and 22,849.16 is: 34,273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,538.67 : 51,808.01 = 22,849.16 : x
  2. Step 2: Convert to fraction form
    34,538.67/51,808.01 = 22,849.16/x
  3. Step 3: Cross multiply
    34,538.67x = 51,808.01 × 22,849.16
  4. Step 4: Simplify right side
    34,538.67x = 1,183,769,136.49
  5. Step 5: Solve for x
    x = 1,183,769,136.49/34,538.67
  6. Step 6: Final answer
    x = 34,273.73

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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.