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Finding the Fourth Proportional to 34,172.65, 51,291.78 and 16,654.78

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Solution

The fourth proportional to 34,172.65, 51,291.78 and 16,654.78 is: 24,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,172.65 : 51,291.78 = 16,654.78 : x
  2. Step 2: Convert to fraction form
    34,172.65/51,291.78 = 16,654.78/x
  3. Step 3: Cross multiply
    34,172.65x = 51,291.78 × 16,654.78
  4. Step 4: Simplify right side
    34,172.65x = 854,253,407.05
  5. Step 5: Solve for x
    x = 854,253,407.05/34,172.65
  6. Step 6: Final answer
    x = 24,998.16

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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.