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Finding the Fourth Proportional to 34,196.59, 51,270.31 and 16,174.83

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Solution

The fourth proportional to 34,196.59, 51,270.31 and 16,174.83 is: 24,250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,196.59 : 51,270.31 = 16,174.83 : x
  2. Step 2: Convert to fraction form
    34,196.59/51,270.31 = 16,174.83/x
  3. Step 3: Cross multiply
    34,196.59x = 51,270.31 × 16,174.83
  4. Step 4: Simplify right side
    34,196.59x = 829,288,602.31
  5. Step 5: Solve for x
    x = 829,288,602.31/34,196.59
  6. Step 6: Final answer
    x = 24,250.62

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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.