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Finding the Fourth Proportional to 34,692.69, 51,984.53 and 26,814.50

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Solution

The fourth proportional to 34,692.69, 51,984.53 and 26,814.50 is: 40,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,692.69 : 51,984.53 = 26,814.50 : x
  2. Step 2: Convert to fraction form
    34,692.69/51,984.53 = 26,814.50/x
  3. Step 3: Cross multiply
    34,692.69x = 51,984.53 × 26,814.50
  4. Step 4: Simplify right side
    34,692.69x = 1,393,939,181.74
  5. Step 5: Solve for x
    x = 1,393,939,181.74/34,692.69
  6. Step 6: Final answer
    x = 40,179.62

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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.