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Finding the Fourth Proportional to 51,951.86, 71,692.13 and 29,290.65

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Solution

The fourth proportional to 51,951.86, 71,692.13 and 29,290.65 is: 40,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,951.86 : 71,692.13 = 29,290.65 : x
  2. Step 2: Convert to fraction form
    51,951.86/71,692.13 = 29,290.65/x
  3. Step 3: Cross multiply
    51,951.86x = 71,692.13 × 29,290.65
  4. Step 4: Simplify right side
    51,951.86x = 2,099,909,340.04
  5. Step 5: Solve for x
    x = 2,099,909,340.04/51,951.86
  6. Step 6: Final answer
    x = 40,420.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.